A shopkeeper marks an article which is 60% more than the cp and allows a discount of 25% on it. Find his gain percent

Given:

A shopkeeper marks an article which is 60% more than the cp and allows a discount of 25% on it.

To do:

We have to find the total gain percent.

Solution:

Let the price of the article be $x$.

The price of the article after it is increased by 60%$=x+\frac{60}{100}x$

$=\frac{100x+60x}{100}$

$=\frac{160x}{100}$

$=\frac{8x}{5}$

The price of the article after a discount of 25%$=\frac{8x}{5}-\frac{25}{100}\times\frac{8x}{5}$

$=\frac{8x}{5}-\frac{2x}{5}$

$=\frac{8x-2x}{5}$

$=\frac{6x}{5}$

Gain $=$ SP $-$ CP

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

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

$=\frac{x}{5}$

Gain $ \%=\frac{Gain}{CP}\times100 \%$

$=\frac{\frac{x}{5}}{x}\times100 \%$

$=20 \%$

The total gain percent is 20%. 

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Updated on: 10-Oct-2022

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