Question

A toy was sold at a gain of $12\%$. Had it been sold for Rs. 33 more, the gain would have been $14\%$. Find the cost price of the toy. [3 MARKS]

Answer 1

Concept : 1 Mark
Calculation : 2 Marks

Let the C.P. of the toy be Rs. x

Gain$\%=12\%$

$\therefore$ Gain =$12\%ofRs.x=Rs.\frac{12x}{100}=Rs.\frac{3x}{25}$

$\therefore S.P.=C.P.+Gain$
$=Rs.(x+\frac{3x}{25})=Rs\frac{28x}{25}$

New Gain $\%=14\%$

$\therefore$ New Gain $=14\%ofRs.x=Rs\frac{14x}{100}=Rs\frac{7x}{50}$

$\therefore$ New S.P. $=Rs(x+\frac{7x}{50})=Rs\frac{57x}{50}$

$\therefore \frac{57x}{50}-\frac{28x}{25}=33$

$\Rightarrow \frac{57x-56x}{50}=33\Rightarrow \frac{x}{50}=33\Rightarrow x=33\times 50\Rightarrow x=1650$

Hence, the C.P. of the toy is Rs 1650