CAT QUANT QESTIONS

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

1. 31
2. 28
3. 32
4. 29

Answer and explanation

ANSWER- 1 (31)

Let the income of Bimla be Rs. 100

Amla’s income = 1.2*100 = Rs. 120

Also, Amla’s income = 4/5× Kamla’s income

Therefore, Kamla’s income = 5/4×12054×120=Rs. 150

Kamala’s new income with 4% decrease = 0.96×150 =Rs. 144

Bimla’s new income with 10% increase = 1.1×100= Rs. 110

Required percentage increase = (144−110/110)×100≈31