Question

Parvinder sold a watch at a loss of $5$. If he had sold that watch for $Rs.27$ more, he would have gained $7\%$. Find the cost price of the watch.

Answer 1

We have,

Parvinder sold a watch at loss of $5$

Let the cost price of watch $=Rs.y$

Loss $=5$

Selling price $=\frac{y(100-loss\%)}{100}$

$=\frac{y(100-5)}{100}$

$=\frac{95y}{100}.......\left(1\right)$

Given that,

Gain$=7$

Selling price$=\frac{y(100+gain\%)}{100}$

$=\frac{y(100+7)}{100}$

$=\frac{107}{100}y.......\left(2\right)$

According to given question,

$\frac{107}{100}y-\frac{95}{100}y=27$

$\frac{(107-95)y}{100}=27$

$12y=27\times 100$

$y=\frac{27\times 100}{12}$

$y=\frac{9\times 100}{4}$

$y=9\times 25$

$y=225$

Cost price of watch$=Rs.225$

Hence, $y=Rs.225$ is the answer.