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

English

Gujarati

Hindi

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

Share

Similar Questions

Half of $100$ articles were sold at a profit of $20 \%$ and the rest at a profit of $40 \% .$ If all of the articles had been sold at a profit of $25 \%,$ the total profit would have been $Rs.\,100$ less than earlier profit. The cost price of each article was (in $Rs.$)

hard

A toothpaste labeled at $Rs.\, 80$ is sold for $Rs.\, 68$ The rate of discount is…….$\%$

easy

A dealer sold a bicycle at a profit of $10 \% .$ Had he brought the bicycle at $10 \%$ less price and sold it at a price $Rs.\, 60$ more, he would have gained $25 \%$. The cost price of the bicycle was

hard

A man purchased $150$ pens at the rate of $Rs.\, 12$ per pen. He sold 50 pens at gain of $10 \% .$ The percentage gain at which he must sell the remaining pens so as to gain $15 \%$ on the whole outlay is……..$\%$

hard

If a shopkeeper wants to give $20 \%$ discount on a toy, he has to sell it for $Rs.\,300.$ If he sells it at $Rs.\,405,$ then his gain percent is

medium