CAT (QA) PYQs

In a village, the production of food grains increased by $40 \%$ and the per capita production of food grains increased by $27\%$ during a certain period. The percentage by which the population of the village increased during the same period is nearest to

Arun's present age in years is $40\%$ of Barun's. In another few years, Arun's age will be half of Barun's. By what percentage will Barun's age increase during this period?

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