Question

A shopkeeper sold an air conditioner for Rs.25935 with a discount of 9% and earned a profit of 3.74%. What would have been the percentage of profit earned if no discount was offered?

• A. 12.3%
• B. 15.6%
• C. 16%
• D. 14%

Answer 1

The correct option is D 14%

Let the $M.P.=Rs.x$.

Then the S.P. after a discount of 9% $=Rs.(x-x\times \frac{9}{100})=Rs.\frac{91x}{100}$.

But the $S.P.=Rs.25935$

$\therefore \frac{91x}{100}=25935⟹x=Rs.25935\times \frac{100}{91}=Rs28500=M.P.$

Now he gets 3.74% profit by selling it at Rs. 25935.

$\therefore$ The C.P.=$\frac{S.P\times 100}{100+profitp.c}=Rs.\frac{25935\times 100}{100+3.74}=Rs.25000$

So, profit, when the S.P.is Rs. 28500 $=Rs.(28500-25000)=Rs.3500.$

$\therefore$ Profit=$\frac{3500\times 100}{25000}=14\%$