Percentage profit earned by selling an article for Rs.,1920 is equal to percentage loss incurred by

English

Gujarati

Hindi

7.Profit and Loss

medium

The percentage profit earned by selling an article for $Rs.\,1920$ is equal to the percentage loss incurred by selling the same article for $Rs.\,1280.$ At what price should the article be sold to make $25 \%$ profit? (in $Rs.$)

A

$2000$

B

$2200$

C

$2400$

D

Data inadequate

Solution

Let $Rs$ $x$ be the $C.P.$ of article.

Then $\frac{1920-x}{x}=\frac{x-1280}{x}$

$\frac{1920}{x}+\frac{1280}{x}=1+1=2$

or $x=\frac{1920+1280}{2}=1600$

For $25 \%$ profit $S.P.$ $=1600 \times 1.25=Rs. 2000$

Standard 13

Quantitative Aptitude

Share

Similar Questions

In these questions, two equations mabered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.

$I.$ $3 x^{2}-13 x+12=0$

$II.$ $2 y^{2}-15 y+28=0$

medium

When a producer allows $36 \%$ concession on the retail price of his product, he earns a profit of $8.8 \% .$ What would be his profit percent if the commission is reduced by $24 \% ?$

hard

A shopkeeper sells one transistor for $Rs.\, 840$ at a gain of $20 \%$ and another for $Rs.\, 960$ at a loss of $4 \% .$ His total gain or loss percent is

hard

A man sold two watches for $Rs.\,3750$ each. On one he gained $5 \%,$ and on the other, he lost $5 \% .$ What was his total gain or loss percentage$?$

easy

On selling $17$ balls at $Rs.\,720,$ there is a loss equal to the cost price of $5$ balls. The cost price of a ball is

medium