There is a profit of 20 % on cost price of an article. per cent of profit, when calculated on sellin

English

Gujarati

Hindi

7.Profit and Loss

medium

There is a profit of $20 \%$ on the cost price of an article. The per cent of profit, when calculated on selling price is.......$\%$

A

$16 \frac{2}{3}$

B

$20$

C

$33 \frac{1}{3}$

D

None of these

Solution

Let, the $C.P.$ of article be $₹ x$

Then, $S.P. =₹ \frac{120 x }{100}=₹ \frac{6 x}{5}$

Gain $=\frac{6 x}{5}-x=\frac{6 x-5 x}{5}=₹ \frac{x}{5}$

$\therefore \quad$ Gain per cent $=\frac{\text { Gain }}{\text { S.P. }} \times 100$

$=\frac{\frac{x}{5}}{\frac{6 x}{5}} \times 100=\frac{50}{3}=16 \frac{2}{3} \%$

Standard 13

Quantitative Aptitude

Share

Similar Questions

A cloth merchant says that due to slump in the market, he sells cloth at $10 \%$ loss, but he uses a inaccurate metre scale and actually gains $15 \%$. Find out the actual length of the scale. (in $cm$)

hard

A wholesaler had $200$ dozens of mangoes. He sold some of these mangoes at $20 \%$ profit and the rest at $10 \%$ profit, so that he made $13 \%$ profit on selling all the mangoes. How many mangoes (in dozens) did he sells at $20 \%$ profit?

medium

By selling $90$ pens for $Rs.\, 80$ a man loses $20 \%$. What should be the selling price (in $Rs.$) of $90$ pens for $20\%$ profit?

easy

A machine is sold at a profit of $15 \%$. Had it been sold for $Rs\,540$ more $24 \%$ would have been gained. Find the cost price.

medium

When a plot was sold for $Rs$ $18700,$ the owner lost $15 \% .$ At what price must the plot be sold in order to gain $15 \% ?$

medium