Nootan solutions for मैथमैटिक्स [अंग्रेजी] कक्षा ९ आईसीएसई chapter 2 - Compound Interest [Latest edition]

Find the amount and compound interest of ₹ 24000 at 10% per annum for 2 years.

Find the amount and compound interest of ₹ 12500 at 8% per annum for 3 years.

Find the amount and compound interest of ₹ 64000 at 5% per annum for `1 1/2` years, interest being compounded half-yearly.

Find the amount and compound interest of ₹ 6250 at 16% per annum for 6 months, interest being compounded quarterly.

Ruhi invests ₹ 12800 for 3 years at the rate of 10% per annum compound interest. Find

1. the sum due at the end of first year.
2. the interest for the second year.
3. the compound interest after 3 years.

Shanker invests ₹ 48000 for 3 years at 5% per annum compound interest. Find

1. the interest for the first year. 
2. the amount at the end of second year.
3. the interest for third year.

David invests ₹ 25000 for 3 years at 6% per annum compound interest. Find

1. the interest for the first year.
2. the amount at the end of second year.
3. the compound interest for 3 years.

A man invests ₹ 12500 at 12% per annum compound interest for 3 years. Find

1. the interest for the first year.
2. the interest for third year.
3. the compound interest for 3 years.

A man invests ₹ 8000 for 2 years at a certain rate of interest compound annually. At the end of first year, this sum amounts to ₹ 8640. Find

1. the rate of interest.
2. the amount at the end of second year.

A man invests ₹ 10000 for 3 years at a certain rate of interest compounded annually. At the end of first year, this sum amounts to ₹ 11000. Find

1. the rate of interest. 
2. the compound interest for 3 years.

A man invests ₹ 50000 for 18 months at a certain rate of interest compounded half-yearly. At the end of 6 months, it amounts to ₹ 53000. Find

1. the rate of interest per annum. 
2. the amount after 18 months.

Kanti borrows ₹ 100000 from a bank at 8% per annum compounded yearly. He repays ₹ 38000 at the end of first year and ₹ 35600 at the end of second year. Find the remaining amount at the end of third year.

Shantanu borrows ₹ 65000 from a bank at 10% per annum compounded yearly. He repays ₹ 21500 at the end of first year and ₹ 25000 at the end of second year. Find the remaining amount at the beginning of third year.

Find the amount and compound interest on ₹ 20000 for 2 years if the rate of interest for successive years are 8% and 9%.

Find the amount and compound interest on ₹ 40000 for 3 years if the rates of interest for successive years are 10%, 6% and 5%.

Rahul borrows ₹ 25000 for 2 years and the rates of interest for two successive years are 10% and 8% respectively. If he repays ₹ 7500 at the end of first year, find the amount due at the end of second year.

Find the difference between C.I. and S.I. on ₹ 7500 for 2 years at 10% per annum.

On a certain sum of money invested at the rate of 11% per annum compounded annually, the difference between the interest of the third year and first year is ₹ 255.31. Find the sum.

Find the difference between the C.I. and S.I. on ₹ 15000 at 6% per annum in 2 years.

On a certain sum of money invested at the rate of 4% per annum compounded annually, the difference between the interest of third year and first year is ₹ 81.60. Find the sum.

A sum of money becomes ₹ 5832 in 2 years and ₹ 6298.56 in 3 years, invested compounded annually. Find the rate of interest and the sum of money.

A sum of money becomes ₹ 8427 in 2 years and ₹ 8932.62 in 3 years, invested compounded annually. Find the rate of interest and the sum of money.

The simple interest on a sum of money for 3 years at 4% per annum is ₹ 510. Find:

1. the sum of money. 
2. the C.I. on this sum for one year payable half-yearly at the same rate.

A sum of money is invested at C.I. payable annually. The amounts of interest in two successive years are ₹ 960 and ₹ 1036.80. Find the rate of interest.

A man borrows ₹ 90000 for 2 years at 5% per annum simple interest and immediately invests for 2 years at 5% compounded interest annually. Find his profit.

Find the amount and compound interest on ₹ 50000 in 2 years at 8% compounded annually.

Find the amount and compound interest on ₹ 36000 in 3 years at 10% compounded annually.

Find the compound interest on ₹ 7000 in 2 years at 12% compounded annually.

Find the amount and compound interest on ₹ 10000 in 2 years when the rates of interest for the successive years are 6% and 7% respectively.

Find the amount and compound interest on ₹ 20000 in 3 years when the rates of interest for three successive years are 10%, 5% and 8% respectively.

What sum of money will amount to ₹ 5618 in 2 years at 6% per annum compounded yearly?

What sum of money will amount to ₹ 3515.20 in 3 years at 4% per annum compounded yearly?

What sum of money will amount to ₹ 9240 in 2 years if the rates of interest for two successive years are 5% and 10%, respectively?

On a certain sum, the compound interest in 2 years at 15% per annum is ₹ 11610. Find the sum.

On a certain sum, the compound interest in 3 years at 5% per annum is ₹ 1261. Find the sum.

At what rate percent per annum compound interest will ₹ 8000 amount to ₹ 10125 in 2 years?

At what rate percent will ₹ 30000 yield ₹ 2448 as compound interest in 2 years?

In how many years will ₹ 8500 amount to ₹ 11313.50 at 10% per annum compound interest?

In how many years will ₹ 18000 amount to ₹ 23805 at 15% per annum compound interest?

In what period will ₹ 24000 yield ₹ 7944 as compound interest at 10% per annum compounded yearly.

Divide ₹ 8400 between A and B so that when their shares are invested at 10% compounded yearly, the amount that A receives in 4 years is the same as B receives in 5 years.

Divide ₹ 39030 between A and B so that when their shares are invested at 4% per annum compounded yearly, the amount that A receives in 5 years is same as B receives in 3 years.

Find the amount when ₹ 6000 is invested for `2 1/2` years at 10% per annum compounded yearly.

Find the amount when ₹ 40000 is invested for `2 1/2` years at 8% per annum compounded yearly.

Find the amount and compound interest of ₹ 16000 in 1 year at 10% per annum compounded half-yearly.

Find the compound interest of ₹ 96000 in `1 1/2` year at 5% per annum compounded half-yearly.

A sum of ₹ 48000 amount to ₹ 55566 in 18 months when the interest is reckoned half-yearly. Find the rate of interest per annum.

A sum of ₹ 8192 becomes ₹ 9826 at 12.5% per annum compounded half-yearly. Find the time period.

The compound interest on a certain sum of money at 6% per annum for 2 years is ₹ 306. Find the simple interest on the same sum for 3 years at 10% per annum.

The compound interest on a certain sum of money at 5% per annum for 2 years is ₹ 4100. Find the simple interest on the same sum for 3 years at 8% per annum.

The simple interest on a sum of money for 3 years at 10% per annum is ₹ 1200. Find

1. the sum of money. 
2. the compound interest on this sum for one year payable half-yearly at the same rate.

The simple interest on a certain sum of money at a certain rate is ₹ 900 in 2 years while the compound interest is ₹ 927. Find the sum and the rate of interest.

On a certain sum and at a certain rate of interest, the simple interest for first year is ₹ 300 and the compound interest for first 2 years is ₹ 630. Find the sum and the rate of interest.

A certain sum of money amounts to ₹ 4840 in 2 years and ₹ 5856.40 in 4 years at compound interest. Find the sum and the rate of interest.

A certain sum of money amounts to ₹ 26460 in 2 years and ₹ 29172.15 in 4 years at compound interest. Find the sum and the rate of interest.

On what sum of money will the difference between compound and simple interest for 2 years at 6% per annum be equal to ₹ 72?

On what sum of money will the difference between compound and simple interest for 2 years at 5% per annum be equal to ₹ 30?

The difference between the compound interest and simple interest on ₹ 7500 for 2 years is ₹ 27 at the same rate of interest per year. Find the rate of interest.

The difference between the compound interest and simple interest on ₹ 20000 for 2 years is ₹ 32 at the same rate of interest. Find the rate of interest.

A sum of money lent out at compound interest at certain rate of interest becomes 2 times of itself in 3 years. In how many years, it will become 16 times of itself?

The present price of a T.V. is ₹ 72900. If its value decreases 10% every year then what was its value 2 years ago?

The population of a village increases 10% every year. If its present population is 12,100, find its population:

1. 2 years ago,
2. After 2 years.

The present population of a town is 20000, it increases 2% every year. The population of the town after 2 years will be ______.

If the number of conversion period is greater than or equal to 2 then the correct relation is ______.

The amount of ₹ 6000 for 2 years at the rate of 10% per annum compounded annually is ______.

The time period in which the sum of money ₹ 12000 becomes ₹ 15870 at the rate of 15% per annum compounded annually is ______.

The rate of interest at which the sum of money ₹ 2000 yields ₹ 420 as compound interest compounded annually in 2 years is ______.

The compound interest of ₹ 28000 for 1 year at 10% per annum compounded half-yearly is ______.