Question

A man sells article at a gain of 5% if he had sold at 63 less he would have lost 2% find out cp

Answer 1

$<b>Heya mate. (^_-). Solution below.$
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• Let the Cost price (C.P) be 'x'.



[] In first case,

C.P = x

Gain % = 5%


•°• Selling price (S.P),

= (100 + gain%) × C.P/100

= (100 + 5) × x/100

= 105 × x/100

= 105x/100



[] In second case,

C.P = x

Loss % = 2%


•°• S.P,

= (100 - loss%) × C.P/100

= (100 - 2) × x/100

= 98 × x/100

= 98x/100



[] Now, according to the question, if he had sold the article at Rs 63 less, he would have suffered a loss of 2% instead of gaining 5%.

or, S.P at 5% gain - 63 = S.P at 2% loss

=> 105x/100 - 63 = 98x/100

=> 105x/100 - 98x/100 = 63

=> (105x - 98x)/100 = 63

=> 7x/100 = 63

=> x = 63 × 100/7

=> x = 9 × 100

=> x = 900.

[] Therefore, C.P. = x = 900 Rs.

$<marquee>Hence, cost price of the article is 900 Rs.</marquee>$
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Thank you.. ;-)