Question 34

By how much above cost price should an article be marked so as to gain 17% even after allowing a 22% discount?

Solution

Let say, cost price=c and marked over it by m%.

So,Marked price=$$c\left(1+\frac{m}{100}\right)$$

After discount ,price become=$$c\left(1+\frac{m}{100}\right)\times0.78.$$

According to question,

$$c\left(1+\frac{m}{100}\right)\times0.78=1.17c$$

or,$$\left(1+\frac{m}{100}\right)=\frac{1.17}{0.78}=1.5.$$

or,$$\frac{m}{100}=1.5-1=0.5.$$

or,m=50 %.

D is correct choice.

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