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

A box has $450$ balls, each either white or black, there being as many metallic white balls as metallic black balls. If $40 \%$ of the white balls and $50 \%$ of the black balls are metallic, then the number of non-metallic balls in the box is

Meena scores $40 \%$ in an examination and after review, even though her score is increased by $50 \%$, she fails by $35$ marks. If her post-review score is increased by $20 \%$, she will have $7$ marks more than the passing score. The percentage score needed for passing the examination is