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%
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B
23.7%
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C
30%
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D
25%
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Solution

## The correct option is D 33.33%Let the C.P be Rs.100Discount %=12Profit%=32M.P(100−d%)=C.P(100+p%)Putting the values of d%,C.P and p%M.P(100−12)=100(100+32)⇒M.P=100×13288=25×13222=25×6=150Profit when the article is sold at M.P.=150−100= Rs50Hence,Profit % on selling price is M.P=50150×100=1003=33.33%

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