The income of Amala is 20% more than that of Bimala and 20% less than that of Kamala. If Kamala's income goes down by 4% and Bimala's goes up by 10%, then the percentage by which Kamala's income would exceed Bimala's is nearest to

The income of Amala is 20% more than that of Bimala and 20% less than that of Kamala. If Kamala's income goes down by 4% and Bimala's goes up by 10%, then the percentage by which Kamala's income would exceed Bimala's is nearest to Correct Answer 31

Calculation:

Let the income of Amala be 100x,

⇒ Income of Bimala = 100x/1.2 = 83.33x

⇒ Income of Kamala = 100x/0.8 = 125x

When Kamala’s income goes down by 4% and Bimala’s goes up by 10%,

⇒ Kamala’s new income = 125x – 4% of 125x = 120x

⇒ Bimala’s new income = 83.33x + 10% of 83.33x = 91.67 x

the percentage by which Kamala’s income exceed Bimala’s

⇒ (120x – 91.67x)/91.67x × 100

⇒ (28.33/91.67) × 100

⇒ 31 (approximate)

∴ Kamala’s income would exceed Bimala’s is nearest to 31