Question

By selling a toy for rs 119 the shopkeeper gained as much percent as its cost calculate the cost of the toy?
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Answer 1

Answer:

Let the cost price of the toy be Rs. x.

Then gain x% Gain Rs.(x×

100

x

)=Rs.

100

x

2

S.P=C.P+Gain =x+

100

x

2

But S.P=Rs.24

⇒x+

100

x

2

=24

⇒100x+x

2

=2400⇒x

2

+100x−2400=0

⇒x

2

+120x−20x−2400=0⇒x(x+120)−20(x+120)=0

⇒(x+120)(x−20)=0⇒x=20,−120⇒x=20

Hence the cost price of the toy is Rs. 20