A man sells an article at a gain of 5%. If he had sold it at Rs. 63 less, he would have lost 2%.Find the cost of the article.

Let cost price (C.P.) of the article be Rs x

Then S.P. at 5% gain

and S.P. at 2% loss

According to the question

Hence the required cost is Rs 900

  • 10

Let the C.P be Rs. x

Gain % = 5

S.P = C.P X [100 + Gain % / 100] = x X 105/100 = Rs. 21x/20

If S.P is 63 less then loss % = 2

S.P = C.P X [100 - Loss % / 100] = x X 95/100 = Rs. 19x/20

=> 21x/20 - 19x/20 = 63

= 2x/20 = 63

= x = 63 X 10 = 630

Therefore, C.P of article is Rs.630

  • 3
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