CAT (QA) PYQs

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

The population of a town in $2020$ was 100000. The population decreased by $y \%$ from the year $2020$ to 2021, and increased by $\mathrm{x} \%$ from the year $2021$ to 2022, where x and y are two natural numbers. If population in $2022$ was greater than the population in $2020$ and the difference between $x$ and $y$ is 10, then the lowest possible population of the town in $2021$ was

Raj invested Rs. $10000$ in a fund. At the end of first year, he incurred a loss but his balance was more than Rs. $5000$. This balance, when invested for another year, grew and the percentage of growth in the second year was five times the percentage of loss in the first year. If the gain of Raj from the initial investment over the two year period is $35 \%$, then the percentage of loss in the first year is