Question

A dealer sells a toy for ₹ 24 and gains as much percent a the cost price of the toy.find the cost price of the toy. please give steps.

Answer 1

$\large\boxed{\fcolorbox{blue}{yellow} {Answer}}$

The cost price of the toy is ₹ 20.

$\large\boxed{\fcolorbox{blue}{yellow} {Step - by - step explanation }}$

S. P. of the toy = ₹ 24. [Given]

Let the C. P. of the toy be ₹ x.

.°. Gain % = x %

Gain % =

$\frac{sp \: - \: cp \: }{cp} \times 100 \\ \\ = > \: x = \frac{24 - x}{x} \times 100$

$= > {x}^{2} + 100x - 2400 = 0 \\ = > {x}^{2} + 120x - 20x - 2400 = 0 \\ = > (x + 120) \: (x - 20) = 0$

.°. x + 120 = 0 or x - 20 = 0

=> x = - 120 or x = 20

As cost can't be negative,

.°. Cost price = x = ₹ 20.

Hope it helps!

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