A dealer sells a toy for Rs.24 and gains as much a percent as the cost price of the toy.Find the cost price of the toy.

Answers (1)

Assume the cost price of toy be Rs x. 

Selling price = Rs.24 

Given:  Gain % = x %

 (24 - x)/x = x/100

2400-100x = x2 

x2+ 100 x - 2400 =0

x2+ 120 x - 20 x- 2400 =0

x(x+120) -20(x+120)=0

(x+120)(x-20)=0

x = -120 (not possible) so x =Rs 20 is the cost price of the toy.

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