WBCS Mains 2019 Official Paper-VI

Determine the principal amount that at the rate of $5\%$ compound interest per annum earns a compound interest of $\text{Rs. }615$ after two years.

If the rate of increase in population is $r\%$ per year and the population after $n$ years is $p$, then the population $n$ years before was:

A invested $\text{Rs. }6000$ for $5\text{ months}$ and B invested $\text{Rs. }5000$ for $x\text{ months}$ in a business. If the profits of A and B are equal, find the value of $x$.

Two friends start a business with capitals of $\text{Rs. }16,000$ and $\text{Rs. }24,000$. They earn a total profit of $\text{Rs. }3375$ in a year. How much will each friend get as their share of the profit?

Three friends P, Q and R started a business with capitals of $\text{Rs. }15,000$, $\text{Rs. }10,000$ and $\text{Rs. }25,000$ respectively. At the end of the year, they incur a loss of $\text{Rs. }2,500$. How much will each have to pay to cover the loss?