Question

Mr.ravi's salary was reduced by25% for three months. But after the 3 months, his salary was increased to original salary.what is percentage increase in salary of mr Ravi?
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Answer 1

Step-by-step explanation:

33 1/3 %

If initial salary is Rs 100.

After 25% reduction, salary will become Rs 75.

To make it again Rs 100, the salary should be increased by Rs 25.

So % increase required = 100*25/75= 100/3 % = 33 1/3 %

Answer 2

Mr. Ravi's salary had been increased by 33⅓%

Given : Mr. Ravi's salary was reduced by 25% for three months. But after the 3 months, his salary was increased to original salary.

To find : The percentage increase in salary of Mr. Ravi.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the increase percentage)

Let, his initial salary = Rs. x

After 25% decrease his salary became :

$= x - (x \times 25\%)$

$= x - (x \times \frac{25}{100} )$

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

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

$= Rs. \: \: \frac{3x}{4}$

Let, the increase percentage = y %

After y% increase his salary became :

$= \frac{3x}{4} + ( \frac{3x}{4} \times y\%)$

$= \frac{3x}{4} + ( \frac{3x}{4} \times \frac{y}{100} )$

$= \frac{3x}{4} + \frac{3xy}{400}$

$= Rs. \: \: \: \frac{300x + 3xy}{400}$

According to the data mentioned in the question,

$\frac{300x + 3xy}{400} = x$

$300x + 3xy = 400x$

$3xy = 400x - 300x$

$3xy = 100x$

$3y = 100$

$y = \frac{100}{3}$

$y = 33 \frac{1}{3}$

So, increase percentage = y% = 33⅓%

(This will be considered as the final result.)

Hence, Mr. Ravi's salary had been increased by 33⅓%