Question

Janki sold her leather purse at $8\%$ loss. If she had sold it for Rs. $150$ more, she would have made $12\%$ profit. Find the selling price of the purse.

Answer 1

Let cost price be Rs. x

Selling price in case of loss$=x-8\%$ of x

$=\frac{9^2}{100}x=\frac{23}{25}x$

Selling price in case of profit$=x+12\%$ of x

$=\frac{112}{100}x=\frac{28}{25}x$

Given selling price in case of profit$-$selling price in case of loss$=150$Rs.

$\Rightarrow \frac{28x}{25}-\frac{23x}{25}=150$

$\Rightarrow \frac{5}{25}$ of $x=150$

$\Rightarrow \frac{1}{5}$ of $x=150$

$\Rightarrow x=150\times 5$

$\Rightarrow x=750$ Rs.

Cost price $=750$ Rs.

Selling price$=\frac{23}{25}$ of cost price

$=\frac{23}{25}\times 750$

$=23\times 30$

$=690$

So selling price of purse is $690$ Rs.