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Sachin Rana

· started a discussion

· 1 Months ago

ask (Question:590977.0)

solution

Question:
An article was sold at a profit percentage whose value was equal to its cost price (in Rs.) It was sold after giving a discount equal to the profit made on it. Its marked price was Rs.600 more than twice its cost price. Find its cost price. (in Rs.)
Options:
A) 100
B) 200
C) 300
D) 400 
Solution:

Let the cost price of the article be Rs.x

Profit = Rs. \(\cfrac{x}{100}\) (x) = Rs. \(\cfrac{x^2}{100}\)

Its selling price = Rs. (x + \(\cfrac{x^2}{100}\))

Discount = Rs. \(\cfrac{x^2}{100}\)

Marked price = Rs. (2x + 600)

x + x\(\cfrac{x^2}{100}\) = 2x + 600 - \(\cfrac{x^2}{100}\)

2x2 -  100x – 60000 = 0

x2 – 50x – 30000 = 0

(x – 200) (x + 150) = 0

as x > 0, x = 200  

Sachin Rana

· commented

· 1 Months ago

not able to comprehand this cumbersome solution
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