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Practice Profit and Loss Questions for CAT with Solutions

Author : Akanksha

Updated On : June 24, 2024

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Overview: If you are a CAT aspirant, you must know that the CAT exam Maths questions are generally tricky and might confuse you with its conceptual questions. Profit and loss CAT questions have been regularly used in over past five years.

The QA section of the CAT exam is generally time-consuming and on the higher side of the difficulty level. In Profit and Loss CAT questions, around 3-4 questions are directly or indirectly related to the basic concepts of this topic. Various shortcut formulas and tricks are used to solve these questions.

This article will answer many questions about profit and loss CAT for rigorous practice. These questions have been carefully selected based on an analysis of past year's trends in the CAT exam.


Tips Before You Start Solving Profit and Loss CAT Questions

The CAT exam preparation requires a strategic approach, especially when tackling quantitative topics like CAT Profit and Loss questions. Here are some crucial tips to follow before you start practicing Profit and Loss CAT questions:

1. The Basics of Profit & Loss- Before diving into profit and loss CAT questions for practice, ensure you have a strong grasp of the fundamental concepts related to Profit and Loss. This includes:

  • Cost Price (CP): The price at which an article is purchased.
  • Selling Price (SP): The price at which an article is sold.
  • Profit or Gain: When the selling price exceeds the cost price.
  • Loss: When the cost price exceeds the selling price.
  • Profit Percentage and Loss Percentage: Calculated based on the cost price.

Check | What to do after the CAT Exam?

2. Memorize the Key Formulas- Understand the key formulas used in CAT Profit and Loss questions calculations:

  • Profit = SP - CP
  • Loss = CP - SP
  • Profit Percentage = (Profit / CP) * 100
  • Loss Percentage = (Loss / CP) * 100
  • Selling Price when there is a Profit = CP + Profit
  • Selling Price when there is a Loss = CP - Loss

3. Interpret Word Problems- Profit and Loss CAT questions often come in the form of word problems. Practice interpreting these problems accurately to identify what is given and what needs to be calculated.

4. Practice Mental Math- Improve your mental math skills to be able to do quick calculations. This is useful for approximations and checking your answers.

5. Use Varied Practice Sources- Practice Profit and Loss questions from various CAT preparation books like Arun Sharma, Nishit Sinha, etc. 5. Analyze Previous Year Papers- Review CAT previous year papers to understand the type and difficulty level of Profit and Loss questions that have appeared in the exam. This will give you a better idea of what to expect.

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Profit and Loss CAT Questions for Practice

1. An automobile agency launched a scheme that if a customer purchases two Jabaaj Discover bikes, one extra Jabaaj Discover will be free and if he purchases 3 Jabaaj Pulser he will get one extra Jabaaj Pulser free. If the cost price of 3 Jabaaj Discover and 4 Jabaaj Pulser be Rs. 67500 and Rs. 232500 respectively. If a customer purchases 2 bikes of Jabaaj Discover and 3 bikes of Jabaaj Pulser as per scheme he availed 1 bike free of each category, then at what price these bikes should be sold so, that the agency can get overall profit of 17.5% :

(a) 235250
(b) 352500
(c) 368000
(d) 268000

2. Rahul went to purchase a Nokia mobile handset, the shopkeeper told him to pay 20% tax if he asked the bill. Rahul manages to get the discount of 5% on the actual sale price of the mobile and he paid the shopkeeper Rs. 3325 without tax. Besides he manages to avoid to pay 20% tax on the already discounted price, what is the amount of discount that he has got?

(a) 750
(b) 375
(c) 875
(d) 525

3 When a bicycle manufacturer reduced its selling price by 50%, the number of bicycles sold radically increased by 600%. Initially the manufacturer was getting only 140% profit. What is the percentage increase of his profit?

(a) 10%
(b) 14%
(c) 0%
(d) can’t be determined

4. A trader marks his goods such that he can make 32% profit after giving 12% discount. However a customer availed 20% discount instead of 12%. What is the new profit percentage of trader?

(a) 20%
(b) 44%
(c) 30%
(d) 28.8%

5. A retailer bought 3850 Linc pens and 1848 Cello pens at the same price. He sells Linc pens in such a way that he can buy 650 Linc pens with the sale price of 481 Linc pens. Again he can buy only 408 Cello pens with the sale price of 629 pens. What is the overall percentage of profit of the retailer?

(a) 4.8%
(b) 9.6%
(c) 13%
(d) none of these

6. The ratio of selling price of 3 articles A, B and C is 8:9: 5 and the ratio of percentage profit is 8: 7: 14 respectively. If the profit percentage of A is 14.28% and the cost price of B is Rs. 400, what is the overall percentage gain?

(a) 14.28%
(b) 14.87% 
c) 16.66%
(d) none of these

7. Anna sold his car to Boney at a profit of 20% and Boney sold it to Chakori at a profit of 10%. Chakori sold it to mechanic at a loss of 9.09%. Mechanic spent 10% of his purchasing price and then sold it at a profit of 8.33% to Anna once again. What is the loss of Anna?

(a) 23%
(b) 29%
(c) 50%
(d) 40%

8. In an office the number of employees reduces in the ratio of 3 : 2 and the wages increases in the ratio of 20 : 27. What is the profit percentage of employees over the previous wages? 

(a) 10%
(b) 9.09% 
(c) 11.11%
(d) none of these 

9. I asked the shopkeeper the price of a wrist watch. I found that I had just the required sum of money. When the shopkeeper allowed me a discount of 25%, I could bought another watch worth ₹ 940 for my younger sister. What is the price which I have paid for my own watch? 

(a) ₹ 2700
(b) ₹ 1800 
(c) ₹ 2820
(d) ₹ 3760 

10. A and B are two partners and they have invested ₹ 54,000 and ₹ 90,000 in a business. After one year A received ₹ 1800 as his share of profit out of total profit of ₹ 3600 including his certain commission on total profit, since he is a working partner and rest profit is received by B. What is the commission of A as a percentage of the total profit? 

(a) 20%
(b) 10% 
(c) 5%
(d) 25% 

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11. A trader sells goods to a customer at a profit of k% over the cost price, besides it he cheats his customer by giving 880 g only instead of 1 kg. Thus, his overall profit percentage is 25%. Find the value of k? 

(a) 8.33%
(b) 8.25% 
(c) 10% (
d) 12.5% 

12. A trader sells two brands of petrol; one is Extra Premium (EP) and other one is ‘Speed’ (SP). He mixes 12 litres of EP with 3 litres of speed and by selling this mixture at the price of EP he gets the profit of 9.09%. If the price of Extra Premium be ₹ 48 per litre, then the price of Speed (SP) is : 

(a) ₹ 38 per litre 
(b) ₹ 42 per litre 
(c) ₹ 28 per litre 
(d) none of these 

13. A, B and C invest in the ratio of 3 : 4 : 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, if B earns ₹ 250 more than A : 

(a) ₹ 6000
(b) ₹ 7250 
(c) ₹ 5000
(d) none of these 

14. Ajay bought a motor cycle for ₹ 50,000. 2 years later he sold it to Bijoy at 10% less of the cost price. Bijoy spend 5% of the purchasing price on its maintenance. Later Bijoy displayed the sale price of his motorcycle ₹ 50,000. Chetan wanted to purchase it at 15% discount but Bijoy gave him two successive discounts of 10% and 5% instead of 15% in one time. What is the actual discount availed by Chetan? 

(a) 15%
(b) 15.5% 
(c) 14.5%
(d) none of these 

15. Kamal bought a house in Sushant city, whose sale price was ₹ 8 lakh. He availed 20% discount as an early bird offer and then 10% discount due to cash payment. After that he spent 10% of the cost price in interior decoration and lawn of the house. At what price should he sell the house to earn a profit of 25%? 

(a) ₹ 9 lakh
(b) ₹ 7.99 lakh 
(c) ₹ 7.92 lakh
(d) none of these 

16. I wanted to purchase 10 chairs for the class room whose cost was ₹ 200 each. The trader offered me a discount if I were to purchase a set of 12 chai₹ So, I calculated that if I assume the normal price of 10 chairs, then we can purchase 2 extra chairs which cost me only ₹ 80 each of two chairs at the cost price of 12 chairs after discount. What is the percentage discount? 

(a) 6%
(b) 8%
(c) 12%
(d) 10% 

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17. The cost of servicing of a Maruti car at Maruti care Pvt. Ltd. is ₹ 400. Manager of service centre told me that for the second service within a year a customer can avail a 10% discount and further for third and fourth servicing he can avail 10% discount of the previous amount paid, within a year. Further if a customer gets more than 4 services within a year he has to pay just 60% of the servicing charges on these services. A customer availed 5 services from the same servicing station, what is the total percentage discount fetched by the customer? 

(a) 19.42% 
(b) 18.5%
(c) 17.6%
(d) 26% 

18. The cost price of an article is C and the selling price of the same article is S, where Z is the profit or loss percentage. If the cost price and selling price both are increased by same amount, then which of the following is true : 

(a) Z increases
(b) Z decreases 
(c) remains constant
(d) none of these 

19. Cost price of 12 oranges is equal to the selling price of 9 oranges and the discount on 10 oranges is equal to the profit on 5 oranges. What is the percentage point difference between the profit percentage and discount percentage?

(a) 20
(b) 22.22
(c) 16.66
(d) 15

20. A car mechanic purchased four old cars for ₹ 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. What is the average sale price of the rest three cars to get 50% total profit if he has already sold one of the four cars at ₹ 1.2 lakh? 

(a) 1.5 lakh
(b) 1.1 lakh 
(c) 1.2 lakh 
(d) 1.65 lakh 

21. The cost of setting up a magazine is ₹ 2800. The cost of paper and ink etc is ₹ 80 per 100 copies and printing cost is ₹ 160 per 100 copies. In the last month 2000 copies were printed but only 1500 copies could be sold at ₹ 5 each. Total 25% profit on the sale price was realized. There is one more resource of income from the magazine which is advertising. What sum of money was obtained from the advertising in magazine? 

(a) ₹ 1750 
(b) ₹ 2350
(c) ₹ 1150
(d) ₹ 1975 

22. DSNL charges a fixed rental of ₹ 350 per month. It allows 200 calls free per month. Each call is charged at ₹ 1.4 when the number of calls exceeds 200 per month and it charges ₹ 1.6 when the number of calls exceeds 400 per month and so on. A customer made 150 calls in February and 250 calls in March. By how much per cent the each call is cheaper in March than each call in February? 

(a) 28% 
(b) 25% 
(c) 18.5% 
(d) None of the above 

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23. In the Bargain Bazar everyone purchases with a fair bargaining, so the traders markup the prices too much. A trader marked up an article at ₹ M expected huge profit if it is sold on the marked price. But a customer purchased it at M/2 with his fine bargaining skills, so the expected profit of the trader diminished by 66.66%. What is the percentage discount fetched by the customer through bargaining? 

(a) 33.33%
(b) 50% 
(c) 66.66%
(d) none of these 

24. Tika Chand has a weighing balance in which there is a technical fault. The right pan of his balance measures always 200 g more than its left pan. Tika Chand as usual misutilise this balance in his business. While purchasing the articles he puts goods in the left pan and weight in the right pan while selling he reverse the order i.e., goods in the right pan and weight in the left pan. He uses only 2 kg weight for the measurement and to measure 2n kg weight he measures n times by 2-2 kg but he sells goods at cost price. What is his profit percentage? 

(a) 20%
(b) 22 2/9 % 
(c) 18 2/11 % 
(d) none of these

25. Akram Miya has two types of grapes. One is the fresh grapes containing 80% water and dry grapes containing 25% water. He sells 20 kg dry grapes, by adding water to the dry grapes, at cost price. What is the total profit percentage when after adding water the weight of 20 kg dry grapes increased in the proportion of water in fresh grapes? 

(a) 275%
(b) 200% 
(c) 80%
(d) 125% 

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26. Pankaj and Sushil invested some amount of money in the ratio of 3 : 5for the same period in a business. They decided that at the end of year 20% profit was to be given to AIDS Control Society of India as a donation. Out of the remaining, 75% was to be reinvested and the rest of the profit was to be divided as interest on their capitals. If the difference in their shares is ₹ 1200. Find the total profit? 

(a) ₹ 18000
(b) ₹ 24000 
(c) ₹ 20000
(d) none of these 

27. Jagran group launched a new magazine in January 2004. The group printed 10000 copies initially for ₹ 50000. It distributed 20% of its stock freely as specimen copy and 25% of the rest magazines are sold at 25% discount and rest at 16.66% discount whose printing price was ₹ 12 per copy. What is the overall gain or loss in the first month’s issue of magazine, if the magazine could not realize the income from advertisements or other resources? 

(a) 56% profit 
(b) 27% loss 
(c) 16.66% profit 
(d) 38% profit 

28. Teenagers shoe company sells the shoes whose prices i.e., cost prices and selling prices are the multiples of either 13, 14, 15, 16, 17, 18 or 19, starting from ₹ 399 to ₹ 699 (i.e., 399 less than equal to CP/SP less than equal to 699). What can be the maximum profit of the company? 

(a) ₹ 292
(b) ₹ 398 
(c) ₹ 298
(d) ₹ 300 

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29. Jhun Jhunwala makes 1000 toys and incurs a cost of ₹ 1.2 for each toy. He marks-up the price in such a way that if he sells only 70% of the manufactured toys he will realize 16.66% overall profit. He sells only 750 articles at the marked price, since rest of the toys are found to be defective, so can’t be sold. What is the net profit or loss of Jhun Jhunwala? 

(a) 14.44% loss
(b) 25% profit 
(c) 33.33% profit
(d) none of these 

30. Anupam sells a painting to Bhargava at 4/5th the rate of profit at which Bhargava sells it to Chaudhary. Further Chaudhary sells it to Dara Singh at half the rate of profit at which Anupam sold it to Bhargava. If Chaudhary earns a profit of 10% by selling it to Dara Singh for ₹ 2805. What is the cost price of painting for Bhargava? 

(a) 1896
(b) 2040 
(c) 1680
(d) 2000 

31. A dishonest retailer cheats his wholesaler and customer both. He purchases 19% more from the wholesaler and sells 15% less while selling to its customer. What is profit percentage by selling the goods at cost price? 

(a) 36.78%
(b) 34% 
(c) 40%
(d) 36.85% 

32. Rotomac produces very fine quality of writing pens. Company knows that on an average 10% of the produced pens are always defective, so are rejected before packing. Company promises to deliver 7200 pens to its wholesaler at ₹ 10 each. It estimates the overall profit on all the manufactured pens to be 25%. What is the manufacturing cost of each pen? 

(a) ₹ 6
(b) ₹ 7.2 
(c) ₹ 5.6
(d) ₹ 8 

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33. Pratibha printers prepares diaries expecting to earn a profit of 40% by selling on the marked price. But during transportation 8% diaries were got spoiled due to at random rain and 32% could be sold only at 75% of the cost price. Thus, the remaining 60% diaries could be sold at the expected price. What is the net profit or loss in the whole consignment? 

(a) 6%
(b) 10% 
(c) 8%
(d) can’t be determined 

34. Radhey Lal markup the prices of sweets by 40% and he sold only 40% of those at this price. He sells half of the rest at 14 2/7 % discount and rest at 25% discount. What is the net profit of Radhey Lal? 

(a) 26.5%
(b) 23.5% 
(c) 30%
(d) 28.6% 

35. The price of an article reduces to 576 after two successive discounts. The markup is 80% above the cost price of ₹ 500. What is the new profit percentage if instead of two successive discounts the markup price was further increased successively two times by the same percentage? 

(a) 259.2%
(b) 59.2% 
(c) 159.2%
(d) can’t be determined 

36. A trader marks-up his goods by 80% and gives discount of 25%. Besides it he weighs 10% less amount while selling his goods. What is the net profit of trader? 

(a) 50%
(b) 35% 
(c) 45%
(d) 55% 

37. A dishonest trader marks up his goods by 80% and gives discount of 25%. Besides he gets 20% more amount per kg from wholesaler and sells 10% less per kg to customer. What is the overall profit percentage? 

(A) 80%
(b) 60% 
(c) 70%
(d) none of these 

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38. A dishonest dealer purchases goods at 20% discount of the cost price of Rs x and also cheats his wholesaler by getting 20% extra through false weighing, per kg. Then, he marks up his goods by 80% of x, but he gives a discount of 25% besides he cheats his customer by weighing 10% less than the required. What is his overall profit percentage? 

(a) 125%
(b) 100% 
(c) 98.66%
(d) 120% 

39. Anjali, Bhoomika and Chawla went to market to purchase the rings whose costs were same. But each ring was available with two successive discounts. Anjali availed two successive discounts of 5% and 20%. Bhoomika availed two successive discounts 10% and 15% while Chawla availed two successive discounts of 12% and 13%. Who gets the maximum possible discount? 

(a) Anjali
(b) Bhoomika 
(c) Chawla
(d) all of these 

40. An egg seller sells his eggs only in the packs of 3 eggs, 6 eggs, 9 eggs, 12 eggs etc., but the rate is not necessarily uniform. One day Raju (which is not the same egg seller) purchased at the rate of 3 eggs for a rupee and the next hour he purchased equal number of eggs at the rate of 6 eggs for a rupee. Next day he sold all the eggs at the rate of 9 eggs for ₹ 2. What is his percentage profit or loss? 

(a) 10% loss
(b) 11.11% loss 
(c) 3% loss
(d) 2.5% profit 

Check | How to prepare for CAT exam in 2 months

Solutions for the Above Profit and Loss CAT Questions for Practice

Conclusion

To have a full grasp identify and focus on areas where you face difficulties. Spend some time understanding and practicing this topic to ensure you score well. After practicing questions, always review your mistakes and understand where you went wrong. This will help you avoid similar errors in the future. By following these tips, you'll be well-prepared to tackle Profit and Loss CAT questions effectively, boosting your overall performance in the CAT exam.

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Practice Profit and Loss Questions for CAT with Solutions

Author : Akanksha

June 24, 2024

SHARE

Overview: If you are a CAT aspirant, you must know that the CAT exam Maths questions are generally tricky and might confuse you with its conceptual questions. Profit and loss CAT questions have been regularly used in over past five years.

The QA section of the CAT exam is generally time-consuming and on the higher side of the difficulty level. In Profit and Loss CAT questions, around 3-4 questions are directly or indirectly related to the basic concepts of this topic. Various shortcut formulas and tricks are used to solve these questions.

This article will answer many questions about profit and loss CAT for rigorous practice. These questions have been carefully selected based on an analysis of past year's trends in the CAT exam.


Tips Before You Start Solving Profit and Loss CAT Questions

The CAT exam preparation requires a strategic approach, especially when tackling quantitative topics like CAT Profit and Loss questions. Here are some crucial tips to follow before you start practicing Profit and Loss CAT questions:

1. The Basics of Profit & Loss- Before diving into profit and loss CAT questions for practice, ensure you have a strong grasp of the fundamental concepts related to Profit and Loss. This includes:

  • Cost Price (CP): The price at which an article is purchased.
  • Selling Price (SP): The price at which an article is sold.
  • Profit or Gain: When the selling price exceeds the cost price.
  • Loss: When the cost price exceeds the selling price.
  • Profit Percentage and Loss Percentage: Calculated based on the cost price.

Check | What to do after the CAT Exam?

2. Memorize the Key Formulas- Understand the key formulas used in CAT Profit and Loss questions calculations:

  • Profit = SP - CP
  • Loss = CP - SP
  • Profit Percentage = (Profit / CP) * 100
  • Loss Percentage = (Loss / CP) * 100
  • Selling Price when there is a Profit = CP + Profit
  • Selling Price when there is a Loss = CP - Loss

3. Interpret Word Problems- Profit and Loss CAT questions often come in the form of word problems. Practice interpreting these problems accurately to identify what is given and what needs to be calculated.

4. Practice Mental Math- Improve your mental math skills to be able to do quick calculations. This is useful for approximations and checking your answers.

5. Use Varied Practice Sources- Practice Profit and Loss questions from various CAT preparation books like Arun Sharma, Nishit Sinha, etc. 5. Analyze Previous Year Papers- Review CAT previous year papers to understand the type and difficulty level of Profit and Loss questions that have appeared in the exam. This will give you a better idea of what to expect.

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Check | CAT Exam Cut Off Trends

Profit and Loss CAT Questions for Practice

1. An automobile agency launched a scheme that if a customer purchases two Jabaaj Discover bikes, one extra Jabaaj Discover will be free and if he purchases 3 Jabaaj Pulser he will get one extra Jabaaj Pulser free. If the cost price of 3 Jabaaj Discover and 4 Jabaaj Pulser be Rs. 67500 and Rs. 232500 respectively. If a customer purchases 2 bikes of Jabaaj Discover and 3 bikes of Jabaaj Pulser as per scheme he availed 1 bike free of each category, then at what price these bikes should be sold so, that the agency can get overall profit of 17.5% :

(a) 235250
(b) 352500
(c) 368000
(d) 268000

2. Rahul went to purchase a Nokia mobile handset, the shopkeeper told him to pay 20% tax if he asked the bill. Rahul manages to get the discount of 5% on the actual sale price of the mobile and he paid the shopkeeper Rs. 3325 without tax. Besides he manages to avoid to pay 20% tax on the already discounted price, what is the amount of discount that he has got?

(a) 750
(b) 375
(c) 875
(d) 525

3 When a bicycle manufacturer reduced its selling price by 50%, the number of bicycles sold radically increased by 600%. Initially the manufacturer was getting only 140% profit. What is the percentage increase of his profit?

(a) 10%
(b) 14%
(c) 0%
(d) can’t be determined

4. A trader marks his goods such that he can make 32% profit after giving 12% discount. However a customer availed 20% discount instead of 12%. What is the new profit percentage of trader?

(a) 20%
(b) 44%
(c) 30%
(d) 28.8%

5. A retailer bought 3850 Linc pens and 1848 Cello pens at the same price. He sells Linc pens in such a way that he can buy 650 Linc pens with the sale price of 481 Linc pens. Again he can buy only 408 Cello pens with the sale price of 629 pens. What is the overall percentage of profit of the retailer?

(a) 4.8%
(b) 9.6%
(c) 13%
(d) none of these

6. The ratio of selling price of 3 articles A, B and C is 8:9: 5 and the ratio of percentage profit is 8: 7: 14 respectively. If the profit percentage of A is 14.28% and the cost price of B is Rs. 400, what is the overall percentage gain?

(a) 14.28%
(b) 14.87% 
c) 16.66%
(d) none of these

7. Anna sold his car to Boney at a profit of 20% and Boney sold it to Chakori at a profit of 10%. Chakori sold it to mechanic at a loss of 9.09%. Mechanic spent 10% of his purchasing price and then sold it at a profit of 8.33% to Anna once again. What is the loss of Anna?

(a) 23%
(b) 29%
(c) 50%
(d) 40%

8. In an office the number of employees reduces in the ratio of 3 : 2 and the wages increases in the ratio of 20 : 27. What is the profit percentage of employees over the previous wages? 

(a) 10%
(b) 9.09% 
(c) 11.11%
(d) none of these 

9. I asked the shopkeeper the price of a wrist watch. I found that I had just the required sum of money. When the shopkeeper allowed me a discount of 25%, I could bought another watch worth ₹ 940 for my younger sister. What is the price which I have paid for my own watch? 

(a) ₹ 2700
(b) ₹ 1800 
(c) ₹ 2820
(d) ₹ 3760 

10. A and B are two partners and they have invested ₹ 54,000 and ₹ 90,000 in a business. After one year A received ₹ 1800 as his share of profit out of total profit of ₹ 3600 including his certain commission on total profit, since he is a working partner and rest profit is received by B. What is the commission of A as a percentage of the total profit? 

(a) 20%
(b) 10% 
(c) 5%
(d) 25% 

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11. A trader sells goods to a customer at a profit of k% over the cost price, besides it he cheats his customer by giving 880 g only instead of 1 kg. Thus, his overall profit percentage is 25%. Find the value of k? 

(a) 8.33%
(b) 8.25% 
(c) 10% (
d) 12.5% 

12. A trader sells two brands of petrol; one is Extra Premium (EP) and other one is ‘Speed’ (SP). He mixes 12 litres of EP with 3 litres of speed and by selling this mixture at the price of EP he gets the profit of 9.09%. If the price of Extra Premium be ₹ 48 per litre, then the price of Speed (SP) is : 

(a) ₹ 38 per litre 
(b) ₹ 42 per litre 
(c) ₹ 28 per litre 
(d) none of these 

13. A, B and C invest in the ratio of 3 : 4 : 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, if B earns ₹ 250 more than A : 

(a) ₹ 6000
(b) ₹ 7250 
(c) ₹ 5000
(d) none of these 

14. Ajay bought a motor cycle for ₹ 50,000. 2 years later he sold it to Bijoy at 10% less of the cost price. Bijoy spend 5% of the purchasing price on its maintenance. Later Bijoy displayed the sale price of his motorcycle ₹ 50,000. Chetan wanted to purchase it at 15% discount but Bijoy gave him two successive discounts of 10% and 5% instead of 15% in one time. What is the actual discount availed by Chetan? 

(a) 15%
(b) 15.5% 
(c) 14.5%
(d) none of these 

15. Kamal bought a house in Sushant city, whose sale price was ₹ 8 lakh. He availed 20% discount as an early bird offer and then 10% discount due to cash payment. After that he spent 10% of the cost price in interior decoration and lawn of the house. At what price should he sell the house to earn a profit of 25%? 

(a) ₹ 9 lakh
(b) ₹ 7.99 lakh 
(c) ₹ 7.92 lakh
(d) none of these 

16. I wanted to purchase 10 chairs for the class room whose cost was ₹ 200 each. The trader offered me a discount if I were to purchase a set of 12 chai₹ So, I calculated that if I assume the normal price of 10 chairs, then we can purchase 2 extra chairs which cost me only ₹ 80 each of two chairs at the cost price of 12 chairs after discount. What is the percentage discount? 

(a) 6%
(b) 8%
(c) 12%
(d) 10% 

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17. The cost of servicing of a Maruti car at Maruti care Pvt. Ltd. is ₹ 400. Manager of service centre told me that for the second service within a year a customer can avail a 10% discount and further for third and fourth servicing he can avail 10% discount of the previous amount paid, within a year. Further if a customer gets more than 4 services within a year he has to pay just 60% of the servicing charges on these services. A customer availed 5 services from the same servicing station, what is the total percentage discount fetched by the customer? 

(a) 19.42% 
(b) 18.5%
(c) 17.6%
(d) 26% 

18. The cost price of an article is C and the selling price of the same article is S, where Z is the profit or loss percentage. If the cost price and selling price both are increased by same amount, then which of the following is true : 

(a) Z increases
(b) Z decreases 
(c) remains constant
(d) none of these 

19. Cost price of 12 oranges is equal to the selling price of 9 oranges and the discount on 10 oranges is equal to the profit on 5 oranges. What is the percentage point difference between the profit percentage and discount percentage?

(a) 20
(b) 22.22
(c) 16.66
(d) 15

20. A car mechanic purchased four old cars for ₹ 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. What is the average sale price of the rest three cars to get 50% total profit if he has already sold one of the four cars at ₹ 1.2 lakh? 

(a) 1.5 lakh
(b) 1.1 lakh 
(c) 1.2 lakh 
(d) 1.65 lakh 

21. The cost of setting up a magazine is ₹ 2800. The cost of paper and ink etc is ₹ 80 per 100 copies and printing cost is ₹ 160 per 100 copies. In the last month 2000 copies were printed but only 1500 copies could be sold at ₹ 5 each. Total 25% profit on the sale price was realized. There is one more resource of income from the magazine which is advertising. What sum of money was obtained from the advertising in magazine? 

(a) ₹ 1750 
(b) ₹ 2350
(c) ₹ 1150
(d) ₹ 1975 

22. DSNL charges a fixed rental of ₹ 350 per month. It allows 200 calls free per month. Each call is charged at ₹ 1.4 when the number of calls exceeds 200 per month and it charges ₹ 1.6 when the number of calls exceeds 400 per month and so on. A customer made 150 calls in February and 250 calls in March. By how much per cent the each call is cheaper in March than each call in February? 

(a) 28% 
(b) 25% 
(c) 18.5% 
(d) None of the above 

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23. In the Bargain Bazar everyone purchases with a fair bargaining, so the traders markup the prices too much. A trader marked up an article at ₹ M expected huge profit if it is sold on the marked price. But a customer purchased it at M/2 with his fine bargaining skills, so the expected profit of the trader diminished by 66.66%. What is the percentage discount fetched by the customer through bargaining? 

(a) 33.33%
(b) 50% 
(c) 66.66%
(d) none of these 

24. Tika Chand has a weighing balance in which there is a technical fault. The right pan of his balance measures always 200 g more than its left pan. Tika Chand as usual misutilise this balance in his business. While purchasing the articles he puts goods in the left pan and weight in the right pan while selling he reverse the order i.e., goods in the right pan and weight in the left pan. He uses only 2 kg weight for the measurement and to measure 2n kg weight he measures n times by 2-2 kg but he sells goods at cost price. What is his profit percentage? 

(a) 20%
(b) 22 2/9 % 
(c) 18 2/11 % 
(d) none of these

25. Akram Miya has two types of grapes. One is the fresh grapes containing 80% water and dry grapes containing 25% water. He sells 20 kg dry grapes, by adding water to the dry grapes, at cost price. What is the total profit percentage when after adding water the weight of 20 kg dry grapes increased in the proportion of water in fresh grapes? 

(a) 275%
(b) 200% 
(c) 80%
(d) 125% 

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26. Pankaj and Sushil invested some amount of money in the ratio of 3 : 5for the same period in a business. They decided that at the end of year 20% profit was to be given to AIDS Control Society of India as a donation. Out of the remaining, 75% was to be reinvested and the rest of the profit was to be divided as interest on their capitals. If the difference in their shares is ₹ 1200. Find the total profit? 

(a) ₹ 18000
(b) ₹ 24000 
(c) ₹ 20000
(d) none of these 

27. Jagran group launched a new magazine in January 2004. The group printed 10000 copies initially for ₹ 50000. It distributed 20% of its stock freely as specimen copy and 25% of the rest magazines are sold at 25% discount and rest at 16.66% discount whose printing price was ₹ 12 per copy. What is the overall gain or loss in the first month’s issue of magazine, if the magazine could not realize the income from advertisements or other resources? 

(a) 56% profit 
(b) 27% loss 
(c) 16.66% profit 
(d) 38% profit 

28. Teenagers shoe company sells the shoes whose prices i.e., cost prices and selling prices are the multiples of either 13, 14, 15, 16, 17, 18 or 19, starting from ₹ 399 to ₹ 699 (i.e., 399 less than equal to CP/SP less than equal to 699). What can be the maximum profit of the company? 

(a) ₹ 292
(b) ₹ 398 
(c) ₹ 298
(d) ₹ 300 

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29. Jhun Jhunwala makes 1000 toys and incurs a cost of ₹ 1.2 for each toy. He marks-up the price in such a way that if he sells only 70% of the manufactured toys he will realize 16.66% overall profit. He sells only 750 articles at the marked price, since rest of the toys are found to be defective, so can’t be sold. What is the net profit or loss of Jhun Jhunwala? 

(a) 14.44% loss
(b) 25% profit 
(c) 33.33% profit
(d) none of these 

30. Anupam sells a painting to Bhargava at 4/5th the rate of profit at which Bhargava sells it to Chaudhary. Further Chaudhary sells it to Dara Singh at half the rate of profit at which Anupam sold it to Bhargava. If Chaudhary earns a profit of 10% by selling it to Dara Singh for ₹ 2805. What is the cost price of painting for Bhargava? 

(a) 1896
(b) 2040 
(c) 1680
(d) 2000 

31. A dishonest retailer cheats his wholesaler and customer both. He purchases 19% more from the wholesaler and sells 15% less while selling to its customer. What is profit percentage by selling the goods at cost price? 

(a) 36.78%
(b) 34% 
(c) 40%
(d) 36.85% 

32. Rotomac produces very fine quality of writing pens. Company knows that on an average 10% of the produced pens are always defective, so are rejected before packing. Company promises to deliver 7200 pens to its wholesaler at ₹ 10 each. It estimates the overall profit on all the manufactured pens to be 25%. What is the manufacturing cost of each pen? 

(a) ₹ 6
(b) ₹ 7.2 
(c) ₹ 5.6
(d) ₹ 8 

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33. Pratibha printers prepares diaries expecting to earn a profit of 40% by selling on the marked price. But during transportation 8% diaries were got spoiled due to at random rain and 32% could be sold only at 75% of the cost price. Thus, the remaining 60% diaries could be sold at the expected price. What is the net profit or loss in the whole consignment? 

(a) 6%
(b) 10% 
(c) 8%
(d) can’t be determined 

34. Radhey Lal markup the prices of sweets by 40% and he sold only 40% of those at this price. He sells half of the rest at 14 2/7 % discount and rest at 25% discount. What is the net profit of Radhey Lal? 

(a) 26.5%
(b) 23.5% 
(c) 30%
(d) 28.6% 

35. The price of an article reduces to 576 after two successive discounts. The markup is 80% above the cost price of ₹ 500. What is the new profit percentage if instead of two successive discounts the markup price was further increased successively two times by the same percentage? 

(a) 259.2%
(b) 59.2% 
(c) 159.2%
(d) can’t be determined 

36. A trader marks-up his goods by 80% and gives discount of 25%. Besides it he weighs 10% less amount while selling his goods. What is the net profit of trader? 

(a) 50%
(b) 35% 
(c) 45%
(d) 55% 

37. A dishonest trader marks up his goods by 80% and gives discount of 25%. Besides he gets 20% more amount per kg from wholesaler and sells 10% less per kg to customer. What is the overall profit percentage? 

(A) 80%
(b) 60% 
(c) 70%
(d) none of these 

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38. A dishonest dealer purchases goods at 20% discount of the cost price of Rs x and also cheats his wholesaler by getting 20% extra through false weighing, per kg. Then, he marks up his goods by 80% of x, but he gives a discount of 25% besides he cheats his customer by weighing 10% less than the required. What is his overall profit percentage? 

(a) 125%
(b) 100% 
(c) 98.66%
(d) 120% 

39. Anjali, Bhoomika and Chawla went to market to purchase the rings whose costs were same. But each ring was available with two successive discounts. Anjali availed two successive discounts of 5% and 20%. Bhoomika availed two successive discounts 10% and 15% while Chawla availed two successive discounts of 12% and 13%. Who gets the maximum possible discount? 

(a) Anjali
(b) Bhoomika 
(c) Chawla
(d) all of these 

40. An egg seller sells his eggs only in the packs of 3 eggs, 6 eggs, 9 eggs, 12 eggs etc., but the rate is not necessarily uniform. One day Raju (which is not the same egg seller) purchased at the rate of 3 eggs for a rupee and the next hour he purchased equal number of eggs at the rate of 6 eggs for a rupee. Next day he sold all the eggs at the rate of 9 eggs for ₹ 2. What is his percentage profit or loss? 

(a) 10% loss
(b) 11.11% loss 
(c) 3% loss
(d) 2.5% profit 

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Solutions for the Above Profit and Loss CAT Questions for Practice

Conclusion

To have a full grasp identify and focus on areas where you face difficulties. Spend some time understanding and practicing this topic to ensure you score well. After practicing questions, always review your mistakes and understand where you went wrong. This will help you avoid similar errors in the future. By following these tips, you'll be well-prepared to tackle Profit and Loss CAT questions effectively, boosting your overall performance in the CAT exam.

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