# CAT2019-1: 68

1 vote
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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. $29$

edited

$\require{cancel} \begin{array} { c c c} \text{Bimala} & \text{Amla} & \text{Kamala} \\ \cancel{100} & 12\cancel{0} & _{30} \cancel{120} \\\ \cancel{ 80} & _{2}\cancel{8}\cancel{0} & \cancel{100} \\ \cancel{20}_{10} & \cancel{24}_{12} & \cancel{30}_{15} \\ 10 \times \frac{110}{100} & 12 & 15 \times \frac{96}{100} \\ 11 & & 14.4\end{array}$

Now, Kamala's income would exceed Bimala’s $= \frac{3.4}{11} \times 100 = 30.90 \approx 31.$

498 points 1 2 5
edited

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