CAT (QA) PYQs

The total of male and female populations in a city increased by $25 \%$ from $1970$ to $1980$.During the same period, the male population increased by $40\%$ while the female population increased by $20\%$. From $1980$ to $1990$, the female population increased by $25 \%$. In $1990$, if the female population is twice the male population, then the percentage increase in the total of male and female populations in the city from $1970$ to $1990$ is

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 a tournament, a team has played $40$ matches so far and won $30 \%$ of them. If they win $60 \%$ of the remaining matches, their overall win percentage will be $50 \%$. Suppose they win $90 \%$ of the remaining matches, then the total number of matches won by the team in the tournament will be