Question

The M.P. of a camera is $\frac{3}{2}$ of the C.P. and S.P. is $\frac{9}{10}$ of M.P. Find the percentage of profit or loss.

• A. 25% profit
• B. 35% profit
• C. 33.33% loss
• D. none of these

Answer 1

The correct option is B 35% profit

Given that, the marked price of a camera is $\frac{3}{2}$ of the cost price and the selling price is $\frac{9}{10}$ of the marked price.

To find out: Profit or loss percentage.

Let the cost price of the camera be $Rs.x$.

Hence, its marked price $=\frac{3}{2}x=Rs.\frac{3x}{2}$

Also, the selling price $=\frac{9}{10}\times \frac{3x}{2}=Rs.\frac{27x}{20}$

The selling price is more than the cost price.

Hence, it will be a profit.

We know that, $profit\%=\frac{S.P.-C.P.}{C.P.}\times 100$

$\therefore profit\%=\frac{\frac{27x}{20}-x}{x}\times 100$

$\Rightarrow \frac{27x-20x}{20x}\times 100$

$\Rightarrow \frac{7}{20}\times 100=7\times 5$

$\therefore profit\%=35\%$

Hence, the required profit percent is $35\%$.