# Simple and Compound Interest

### John borrowed Rs. 2,10,000 from a bank at an interest rate of 10% per annum

John borrowed Rs. 2,10,000 from a bank at an interest rate of 10% per annum, compounded annually. The loan was repaid in two equal instalments, the first after one year and the second after another year. The first instalment was interest of one year plus part of the principal amount, while the second was the rest of the principal amount plus due interest thereon. Then each instalment, in Rs., is

### A man earns x% on the first Rs. 2,000 and y% on the rest of his income

A man earns x% on the first Rs. 2,000 and y% on the rest of his income. If he earns Rs. 700 from income of Rs. 4,000 and Rs. 900 from if his income is Rs. 5,000, find x%.

1. 10%
2. 15%
3. 20%
4. 25%

### How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest

How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

1. 4 years
2. 4.5 years
3. 5 years
4. 5.5 years

### A certain sum of money invested at some rate of simple interest triple

A certain sum of money invested at some rate of simple interest triple itself in 4 years. In how many years the principal will become 9 times of itself at the same rate?

### A man invests Rs. 3,000 at the rate of 5% per annum. How much more should he invest

A man invests Rs. 3,000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum?

1. Rs. 1,200
2. Rs. 1,500
3. Rs. 1,700
4. Rs. 2,000