Question

A watch sold for $Rs448$ gives a profit of only $12\%$. Find the profit $\%$ if the selling price has been $Rs512$.

Answer 1

Let cost price of watch be $Rs.x$

Profit $=Rs.\frac{12x}{100}$

$\therefore$ Selling price $=Rs.(x+\frac{12x}{100})=Rs.\frac{112x}{100}$

According to the problem

$448=\frac{112x}{100}$

$\therefore x=400$

$\therefore$ Cost price of eatch $=Rs.400$

New Selling price $=Rs.512$

$\therefore$ Profit $=Rs.(512-400)=Rs.112$

$\therefore$ Profit $\%=\frac{112}{400}\times 100=28\%$