A man sells an article at 5 % above its cost price. If he had bought it at 5 % less than what he had

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7.Profit and Loss

hard

A man sells an article at $5 \%$ above its cost price. If he had bought it at $5 \%$ less than what he had paid for it and sold it at $Rs.\, 2$ less, he would have gained $10 \% .$ The cost price of the article is (in $Rs.$)

A

$400$

B

$100$

C

$200$

D

$300$

Solution

Let $CP$ be ₹ $x$.

$S.P$. $=x \times \frac{105}{100}=\frac{105 x}{100}=\frac{21 x}{20}$

New $C.P.$ $=x \times \frac{95}{100}=\frac{19 x}{20}$

New $S.P.$ $=\frac{19 x}{20} \times \frac{110}{100}=\frac{209}{200}$

According to the question, $\frac{21 x}{20}-\frac{209 x}{200}=2$

$\Rightarrow \frac{210 x-209 x}{200}=2$

$\Rightarrow x / 200=2 \Rightarrow x=Rs. 400$

Standard 13

Quantitative Aptitude

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