Question

In order to maintain the price line, a trader allows a discount of $12\%$ on the marked price of goods in his shop. However, he still makes a gross profit of $32\%$ on the cost price. Find the profit percent he would have made on the selling price had he sold at the marked price.

• A. $33.33\%$
• B. $23.7\%$
• C. $30\%$
• D. $25\%$

Answer 1

Answer: (A)

$33.33\%$

Let the C.P be Rs.$100$

Discount $\%=12$

Profit$\%=32$

$M.P(100-d\%)=C.P(100+p\%)$

Putting the values of $d\%,C.P$ and $p\%$

$M.P(100-12)=100(100+32)$

$\Rightarrow M.P=\frac{100\times 132}{88}$

$=\frac{25\times 132}{22}$

$=25\times 6=150$

Profit when the article is sold at M.P.$=150-100=Rs50$

Hence,Profit $\%$ on selling price is M.P$=\frac{50}{150}\times 100=\frac{100}{3}=33.33\%$