Question

(1)
A dealer sells a toy for
24 and gains as much percent as the cost
price of the toy. Find the cost price of the toy.​

Answer 1

ANSWER=20

EXPLANATION:

CP=20

SP=24

GAIN%=GAIN/CP × 100

=4/20 × 100

= 20

THEREFORE GAIN% = COST PRICE

THANK YOU

Answer 2

Answer:

let the cost price be x.

Gain percent=x

According to given condition

Costprice + Gain=Selling price

$x + \frac{x}{100} \times x = 24$

$\frac{100x + {x}^{2} }{100} = 24$

$100x + {x}^{2} = 2400$

${x}^{2} + 100x - 2400 = 0$

${x}^{2} + 120x - 20x - 2400 = 0$

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

$x - 20 = 0 \: or \: x + 120 = 0$

$x = 20 \: or \: x = - 120$

But cost is never negative.

$x = 20rs$

So the cost price is 20Rs

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