A shopkeeper first increased the price of an article by 25% and then by 20%. What is the total percent increased?


Given:

A shopkeeper first increased the price of an article by 25% and then by 20%. 

To do:

We have to find the total percent increased.

Solution:

Let the price of the article be $x$.

The price of the article after it is increased by 25%$=x+\frac{25}{100}x$

$=\frac{100x+25x}{100}$

$=\frac{125x}{100}$

$=\frac{5x}{4}$

The price of the article after it is increased by 20%$=\frac{5x}{4}+\frac{20}{100}\times\frac{5x}{4}$

$=\frac{5x}{4}+\frac{x}{4}$

$=\frac{5x+x}{4}$

$=\frac{6x}{4}$

$=\frac{3x}{2}$

The total percentage increase in the price $=\frac{\frac{3x}{2}-x}{x}\times100$%

$=\frac{\frac{3x-2x}{2}}{x}\times100$%

$=\frac{x}{2x}\times100$%

$=50$%

The total percent increased is 50%.

Tutorialspoint
Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

842 Views

Kickstart Your Career

Get certified by completing the course

Get Started
Advertisements