CAT (QA) PYQs

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

In an examination, the maximum possible score is $N$ while the pass mark is $45\%$ of $N$. A candidate obtains $36$ marks, but falls short of the pass mark by $68\%$. Which one of the following is then correct?

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