a dealer sells a toy for rs24 and gains as much, Mathematics

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a dealer sells a toy for rs24 and gains as much

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

Ans: Let the C.P be x

∴Gain = x%

⇒ Gain =x. x/100

S.P = C.P +Gain

SP = 24

x + x²/100 =24

On solving x=20 or -120 (rej)

∴C.P of toy = Rs.20

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