Question

The income of Saurabh is reduced by 10%. By how much percent should his income be raised now as to have the same income again?
1. 10%
2. 11%
3. 10(1/9)%
4. 11(1/9)%

Answer 1

Correct Answer - Option 4 : 11(1/9)%

Given :

Income reduced by 10%

To find :

Percentage rise in reduced income to make original income

Formula used :
Increased % = (Increased/income) × 100

Calculation :

Let the original income Be Rs 100

⇒ The reduced income = 100 × (90/100)

⇒ The reduced income = 90

Again, to increase to 100

⇒ Increase to original income = 90 + 10

⇒ Percentage increased = (10/90) × 100

⇒ Percentage increased = 100/9

∴ The percentage rise in reduced income to make an original income is 11(1/9)%.