# How To Solve Percentage Questions For Aptitude Based Exams?

In most of the aptitude exams, you can expect at least 2-3 questions from the percentage topics. Are you wondering how to solve percentage questions for aptitude based exams? Well, this post shall provide you with tricks and tips on how to answer percentage questions quickly.

You can also find percentage questions asked in previous year aptitude exams like DU JAT, IPMAT and NPAT.

## Tricks to Solve Percentage Questions

The percentage questions in an Aptitude Exam can be solved by various methods and tricks but for using those methods and tricks you should be aware of the fractional value of the percentage. So that we can convert the percentage into the fractional value and solve the question easily and then convert that fractional value into the ratio.

For example, Any number XYZ is increased by 25%. So should be aware of the fractional value of 25% i.e. ¼. Here 4 is the base value. Initially let us assume that the number is 4 and you have increased it by 1 so the ratio will be 4:5. So if you know the exact value of any of them 4 or 5. So, you can calculate the other value easily or else you know the exact value of their difference i.e. 1 unit.

The fractional value of 25% is ¼, the fractional value of 20% is 1/5, and the fractional value of 33.33% is 1/3.

1. How to find 100% of a number - 100% of a number means the whole thing, hence 100% of any number is just the number itself. Example: 100% of 5 is 5; 100% of 740 is 740.
2. How to find 50% of a number - 50% of a number means half of that number. So, when you are finding 50% of any number just divide it by 2. Example: 50% of 86 is 43; 50% of 7/2 is 3.5
3. How to find 25% of a number - 25% of any number is 1/4 of that number. Hence, you need to divide the number by 4 to find 25% of the number. Example: 25% of 84 is 21; 25% of 15 is 3.75.
4. How to find 20% of a number - 20% of a number is 1/5 of that number which means you must divide the number by 5 to get 25% of that number. Example: 20% of 250 is 50; 20% of 41 is 8.2
5. How to find 10% of a number - 10% of any number is 1/10 of the number. You must divide the given number by 10 to find 10% of that number. Example: 10% of 8 is 0.8; 10% of 30 is 3.
6. How to find 200%, 300% and so on of a number - To find 200%, 300% or any multiples of 100, you need to remove the two zeroes and multiple with the left out numeral. Example: 300% of 40 is 120 (300 * 40 = 120)

### Sample Percentage Questions Asked in Aptitude Exams

Here are few percentage based questions curated from previous year DU JAT question papers. These questions will help you to easily understand the format to solve the percentage questions in Aptitude exams.

By solving these questions you will find that the percentage questions are easy to solve and very scoring. You will get every trick and method to solve percentage questions easily. So practice these questions and enhance your preparation.

Question 1: In order to maximize his gain, a theatre owner decides to reduce the price of tickets by 20% and as a result of this, the sales of tickets increase by 40%, if, as a result of these changes, he is able to increase his total collection by Rs. 8400, find his original price of a ticket if he initially used to sell 140 tickets?

• (a) 500
• (b) 1000
• (c) 240
• (d) 250

Question 2: If the first number is 8.33% less than the third number and the ratio of the second and third number is 15:16 then the average of the first and third numbers is how much per cent less/more than the second number?

• (a) 2.66%
• (b) 2.22%
• (c) 3.33%
• (d) 2.45%

Question 3: At a party, only couples are invited. If 44 4/9% of invited people are vegetarian and 60% of males are non – vegetarian, then find the number of fathers, if 20% of males have children (it is given that 920 women are non – vegetarian).

• (a) 360
• (b) 270
• (c) 315
• (d) 450

Question 4: A’s income is 57 1/7% of B’s income. If A’s income is 525% more than B’s savings and A’s savings is 16.66% of B’s expenditure. The difference between A’s savings and B’s savings is Rs. 315. Then find the average income of A and B?

• (a) 3712.5
• (b) 3850
• (c) 4125
• (d) 4950

Question 5: Expenditure on wheat of a family is 28.56% less than rice; expenditure on rice is 12.5% less than pulse. If expenditure on wheat, rice, and pulse are increased by 9.5%, 17.5%, and 12.5% respectively and total expenditure is increased by Rs. 540. Then find the total income of the family if other than this expenditure the family saves Rs. 500.

• (a) 4500
• (b) 3500
• (c) 5500
• (d) 4000

Question 6: A’s salary is 20% less than B’s salary. B’s savings is 50% more than A’s savings. If B spends 40% of his salary and the average of A’s salary and B’s savings is Rs. 10500, then find the expenditure of A?

• (a) 6000
• (b) 7500
• (c) 9000
• (d) 10500
• (e) 12000

Question 7: In 2010, a library contained a total of 11500 books in two categories – fiction and non - fiction. In 2015, the library contained a total of 12760 books in these two categories. During this period, there was a 10% increase in the fiction category while there was 12% increase in the non – fiction category. How many fiction books were in the library in 2015?

• (a) 6600
• (b) 6160
• (c) 6000
• (d) 5500

Question 8: A Man spends 28% of his salary on food. From the remaining, he spent 1/6th on rent and sent 3/8th to his mother. If he left with Rs. 5280, what amount would he send to his mother.

• (a) Rs. 4230
• (b) Rs. 4320
• (c) Rs. 4580
• (d) Rs. 4420