Two times a number is a $ 100 \% $ increase in the number. If we take half the number what would be the decrease in per cent?

Given:

Two times a number is a \( 100 \% \) increase in the number.

To do:
We have to find the decrease in per cent if we take half the number.
 Solution:

Let the number be $x$.

Two times the number$=2x$

Half of the number$=\frac{x}{2}$

The decrease in percent$=\frac{x-\frac{x}{2}}{x}\times100 \%$

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

$=50 \%$

Therefore, there is a 50% decrease in the number.

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Updated on: 10-Oct-2022

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