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

• A. 31
• B. 28
• C. 32
• D. 29

Answer 1

Answer: (A)

31

Answer 2

Let Bimla's income be Rs. 100. Amla's income is Rs. 120 (1.2 times Bimla's income). Amla's income is also 4/5 of Kamla's income. Therefore, Kamla's income is Rs. 150 (5/4 times Amla's income).
Kamala's new income, with a 4% decrease, is Rs. 144 (0.96 times Rs. 150). Bimla's new income, with a 10% increase, is Rs. 110 (1.1 times Rs. 100).
The required percentage increase is calculated as $\frac{144 - 110}{110} \times100$, approximately 31%.