Question

A dealer sells an articke for rupees119 and gains as much percent as the cost price of the article.find the cost price of the article

Answer 1

QUESTION :-

A dealer sells an article for Rs. 119 and gains as much percent as the cost price of the article . Find the cost price of the article.

SOLUTION :-

Selling Price (S.P.) of the article = Rs. 119

it's given in the question that the value of gain% and cost price is same.

therefore,

Let the cost price (C.P.) be Rs. x and the gain% be x %

selling price = (100 + profit%)cost price/100

→   119  =  ( 100 + x )x/100

→   119×100 =  (100 + x )x

→   11900 =  100x + x²

→   x² + 100x - 11900 = 0

→   x²  + (170x - 70x) - 11900 = 0

→   x²   +  170x - 70x - 11900 = 0

→   x(x + 170) - 70(x + 170) = 0

→  ( x - 70) (x + 170) = 0

→  x = 70 , -170

∵  money can never be negative

thus , the cost price of the article = Rs,x = Rs. 70

and gain% = x %  = 70 %