CAT 2019 Shift 1 Paper

Question : 75 of 100

Marks: +1, -0

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

Validate

Solution:

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} × 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 \%

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