Arun Sharma Solutions for Exercise 1: Level of Difficulty

Divide $₹3903$ between Amar and Akbar such that Amar's share at the end of $7$ years is equal to Akbar's share at the end of $9$ years at $4\%$ per annum rate of compound interest.

A sum of money becomes $\frac{7}{4}$ of itself in $6$ years at a certain rate of simple interest. Find the rate of interest.

Sanjay borrowed $₹900$ at $4\%$ per annum and $₹1100$ at $5\%$ per annum for the same duration. He had to pay $₹364$ in all as interest. What is the time period in years?

If the difference between compound and simple interest on a certain sum of money for $3$ years at $2\%$ per annum is $₹604$, what is the sum?

If a certain sum of money becomes double at simple interest in $12$ years, what would be the rate of interest per annum?

Three persons, Amar, Akbar and Anthony invested different amounts in a fixed deposit scheme for one year at the rate of $12\%$ per annum and earned a total interest of $₹3240$ at the end of the year. If the amount invested by Akbar is $₹5000$ more than the amount invested by Amar and the amount invested by Anthony is $₹2000$ more than the amount invested by Akbar, what is the amount invested by Akbar?

A sum of $₹600$ amounts to $₹720$ in $4$ years at simple interest. What will it amount to if the rate of interest is increased by $2\%$?

What is the amount of equal instalment, if a sum of $₹1428$ due $2$ years hence has to be completely repaid in two equal annual instalments starting next year?