Salary of Ananya is first increased by 20%, and then it is decreased by 20%. Change in his salary is :

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  1. 4% decrease
  2. 4% increase
  3. 8% decrease
  4. Neither decrease nor increase

Answer (Detailed Solution Below)

Option 1 : 4% decrease
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Detailed Solution

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Given:

Initial salary = S

First, the salary is increased by 20%, then it is decreased by 20%.

Formula Used:

New salary after increase = S × (1 + 20/100) = S × 1.20

New salary after decrease = (S × 1.20) × (1 - 20/100) = S × 1.20 × 0.80

Calculation:

New salary after both changes = S × 1.20 × 0.80 = S × 0.96

The final salary = 0.96S

Change in salary = Final salary - Initial salary = 0.96S - S

Change in salary = -0.04S

The change in salary is a decrease of 4% of the initial salary.

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