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

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 × \(\frac{100}{91}\) 

= Rs 28500

= M.P.

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

\(\therefore\) The C.P. = \(\frac{S.P \times 100}{100+ profit}\)

= \(\frac{25935\times 100}{100+3.74}\) 

= Rs. 25000

So, profit, when the S.P.is Rs. 28500 = Rs.(28500 − 25000) 

= Rs.3500.

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