A shopkeeper sells an article at a gain of 10 % . Had he sold it at a loss of 20 %, its selling pric

English

Gujarati

Hindi

7.Profit and Loss

medium

A shopkeeper sells an article at a gain of $10 \% .$ Had he sold it at a loss of $20 \%,$ its selling price would have been $Rs.\,180$ less. What is the cost price of the article? (in $Rs.$)

A

$630$

B

$600$

C

$580$

D

None of these

Solution

Here, $S.P. _{1}- S.P. _{2}= Rs. 180, x=10, y=-20$

$C \cdot P=?$

Using the formula, $\frac{\text { C.P. }}{100}=\frac{\text { S.P.}_1-\text { S.P. }_{2}}{x-y}$

we get, $C.P. =\left(\frac{180}{10+20}\right) \times 100=\frac{180}{30} \times 100=Rs. 600$

Standard 13

Quantitative Aptitude

Share

Similar Questions

The cost price of $20$ articles is the same as the selling price of $x$ articles. If the profit is $25 \%$, then the value of $x$ is in $Rs.$

medium

The profit earned by selling an article for $Rs.\, 900$ is double the loss incurred when the same article is sold for $Rs.$ $450 .$ At what price should the article be sold to make $25 \%$ profit in $Rs.$?

medium

A sells an article to $B$ at a profit of $20 \%$ and $B$ sells it to $C$ at a loss of $10 \% .$ If $C$ pays $Rs.\,540$ for it, at what price did A buy?

medium

Rajesh purchased a mobile phone and a refrigerator for $Rs.\, 12000$ and $Rs.\, 10000$ respectively. She sold the refrigerator at a loss of $12$ percent and mobile phone at a profit of $8$ per cent. What is her overall loss$/$profit?

medium

cost price of $100$ books is equal to the selling price of $60$ books. The gain percentage or less percentage is

medium