CAT 2019 Percentages Question (Medium)

Question

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

Accepted Answer

Step 1 Let Bimala s income be 100. Then Amala s income is 20 more 100 20 120 Also, Amala s income is 20 less than Kamala s 120 0.8x Rightarrow x 0.8 150 So, initial incomes Bimala 100, Amala 120, Kamala 150 Step 2 Apply changes - Kamala s new income 96 of 150 _ 0.96 times 150 144 - Bimala s new inco

CAT 2019

Quantitative

Percentages

Medium

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

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