Question

Ravi's salary was reduced by 25%.percentage increase to be effected to bring the salary to the original level is

Answer 1

Given:

Ravi's salary was reduced by 25%.

To find:

The percentage increase to be effected to bring the salary to the original level is?

Solution:

Let's assume "x" represents the original salary of Ravi.

Since Ravi's salary was reduced by 25%

∴ The new salary of Ravi = $x - \frac{25x}{100} = \frac{75x}{100} = 0.75x$

Now, to bring the salary to the original level from the new salary of 0.75x, we must add 0.25x to the new salary, so that it becomes x i.e., the original salary.

∴ The percentage increase is,

= $\frac{x - 0.75x}{0.75x} \times 100$

= $\frac{0.25x }{0.75x} \times 100$

= $\frac{1}{3} \times 100$

= $\bold{33.33\%}$

Thus, to bring the salary to the original level, it must be increased by 33.33%.

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