R. S. Aggarwal Solutions for Chapter: Simple Interest, Exercise 2: EXERCISE 21B

A man wants to invest $\mathrm{Rs}.140000$ in two types of bonds. On bond A one gets an annual dividend of $12\%$ while on bond B, the annual dividend is $16\%$. But, there is a restriction that one cannot invest an amount in bond B which exceeds $40\%$ of investment in bond A. Find the maximum income one can earn by investing in these bonds.

A certain sum is to be invested for a certain time at simple interest at $5\%$ per annum such that there is an increase of $40\%$ in the sum. Find the time.

Rahul borrowed $\mathrm{Rs}.7000$ from a bank on simple interest. He paid $\mathrm{Rs}.3000$ after $3$ years and $\mathrm{Rs}.5450$ after $5$ years and closed the account. Find the rate of interest.

A boy aged $10$ years received $\mathrm{Rs}.50000$, which he deposited with a trust at $4\%$ per annum simple interest. Trust pays to the boy $\mathrm{Rs}.1200$ at the end of each year as pocket allowance. Trust spends $\mathrm{Rs}.300$ per annum as expenses. How much money will be given to the boy on his attaining the age of $18$ years?

Divide $\mathrm{Rs}.21550$ in three parts so that their amounts after one, two and three years on simple interest at $10\%$ per annum are all equal.

The simple interest on a certain sum for $6$ years $3$ months is equal to $\frac{3}{8}$ of the sum. Find the rate of interest.

A man invested $\mathrm{Rs}.5000$ at a certain rate of simple interest and $\mathrm{Rs}.6000$ at $1\%$ p.a. more. After $3$ years, he gets $\mathrm{Rs}.1830$ as interest. Find the two rates of interest.

What annual instalment will discharge a debt of $\mathrm{Rs}.4600$ due in $4$ years at $10\%$ p.a. simple interest?