M l aggarwal understanding icse mathematics class 9 Solutions for Chapter 2 compound interest

Find the amount and the compound interest on ₹ 8000 at 5% per annum for 2 years.

. A man invests ₹ 46875 at 4% per annum compound interest for 3 years. Calculate:

(i) the amount standing to his credit at the end of the second year.

(ii) the interest for the third year.

(iii) the interest for the first year.

A man invests ₹ 8000 for three years at the rate of 10% per annum compound interest. Find the interest

for the second year. Also, find the sum due at the end of the third year.

Ramesh invests ₹ 12800 for three years at the rate of 10% per annum compound interest

(i) the sum due to Ramesh at the end of the first year.

(ii) the interest he earns for the second year.

(iii) the total amount due to him at the end of three years.

A man invests ₹ 5000 for three years at a certain rate of interest, compounded annually. At the end of

one year it amounts to ₹ 5600. Calculate:

(i) the rate of interest per annum

(ii) the interest accrued in the second year.

(iii) the amount at the end of the third year.

The simple interest on a sum of money for 2 years at 12% per annum is ₹ 1380. Find:

(i) the sum of money.

(ii) the compound interest on this sum for one year payable half-yearly at the same rate.

Mr. Lalit invested ₹ 75000 at a certain rate of interest, compounded annually for two years. At the end of

the first year it amounts to ₹ 5325. Calculate

(i) the rate of interest.

(ii) the amount at the end of the second year, to the nearest rupee.

A man invests ₹ 5000 for three years at a certain rate of interest, compounded annually. At the end of

one year it amounts to ₹ 5600. Calculate:

(i) the rate of interest per annum

(ii) the interest accrued in the second year.

(iii) the amount at the end of the third year.

Find the amount and the compound interest on ₹ 2000 at 10% p.a. for 2 years, compounded annually.

Find the amount and the compound interest on ₹ 50000 for 1 ½ year at 8% per annum with the

interest being compounded semi-annually.

Calculate the amount and the compound interest on ₹ 5000 in 2 years when the rate of interest for

successive years is 6% and 8% respectively.

Calculate the amount and the compound interest on ₹ 17000 in 3 years when the rate of interest for

successive years is 10%, 10%, and 14% respectively.

A sum of ₹ 9600 is invested for 3 years at 10% per annum at compound interest.

(i) What is the sum due at the end of the first year?

(ii) What is the sum due at the end of the second year?

(iii) Find the compound interest earned in 2 years.

(iv) Find the difference between the answers in (ii) and (i) and find the interest on this sum for one year.

(v) Hence, write down the compound interest for the third year.

The simple interest on a certain sum of money for 2 years at 10% p.a. is ₹ 1600. Find the amount due

and the compound interest on this sum of money at the same rate after 3 years, interest being reckoned

annually.

Vikram borrowed ₹ 20000 from a bank at 10% per annum simple interest. He lent it to his friend

Venkat at the same rate but compounded annually. Find his gain after 2 years.

A man borrows ₹ 6000 at 5% compound interest. If he repays ₹ 1200 at the end of each year, find the

amount outstanding at the beginning of the third year.

Mr. Dubey borrows ₹ 100000 from State Bank of India at 11% per annum compound interest. He

repays ₹ 41000 at the end of the first year and ₹ 47700 at the end of the second year. Find the amount outstanding

at the beginning of the third year.

Jaya borrowed ₹ 50000 for 2 years. The rates of interest for two successive years are 12% and 15%

respectively. She repays ₹ 33000 at the end of the first year. Find the amount she must pay at the end of the second

year to clear her debt.

Find the amount and the compound interest on ₹ 5000 for 2 years at 6% per annum, interest payable

yearly.

Find the amount and the compound interest on ₹ 8000 for 4 years at 10% per annum interest reckoned

yearly.

If the interest is compounded half-yearly, calculate the amount when the principal is ₹ 7400, the rate of

interest is 5% and the duration is one year.

Find the amount and the compound interest on ₹ 100000 compounded quarterly for 9 months at the rate

of 4% p.a.

Find the difference between CI and SI on sum of ₹ 4800 for 2 years at 5% per annum payable yearly.

A farmer increases his output of wheat in his farm every year by 8%. This year produced 2187 quintals

of wheat. What was the yearly produce of wheat two years ago?

Find the difference between the simple interest and compound interest on 2 years at 4% per annum,

compound interest being reckoned semi-annually.

Find the amount and the compound interest on ₹ 2000 in 2 years if the rate is 4% the first year and 3%

for the second year.

Find the compound interest on ₹ 3125 for 3 years if the rates of interest for the second and third year are

respectively 4%, 5% and 6% per annum.

What sum of money will amount to ₹ 9261 in 3 years at 5% per annum compound interest?

What sum invested at 4% per annum compounded semi-annually amounts ₹ 7803 at the end of one

year?

What sum invested for the 1.5-year amount to ₹ 132651 in 1 ½ year compounded half-yearly at the rate of

4% p.a.?

On what sum will the compound interest for 2 years at 4% per annum be ₹ 5712?

A man invests ₹ 1200 for two years at compound interest. After one year the money amounts to ₹ 1275.

Find the interest for the second year correct to the nearest rupee.

At what rate percent per annum compound interest will ₹ 2304 amount to ₹ 2500 in 2 years?

A sum compounded annually becomes 25/16 time of itself in two years. Determine the rate of interest.

At what rate percent will ₹ 2000 amount to ₹ 2315.25 in 3 years at compound interest?

If ₹ 40000 amounts to ₹ 48620.25 in 2 years, compound interest payable half-yearly, find the rate of

interest per annum

Determine the rate of interest for a sum that becomes compounded semi-annually. A sum compounded

annually becomes 216/125 times of itself in 1 ½ year.

At what rate percent p.a. compound interest would ₹ 80000 amounts to ₹ 88200 in two years, interest

being compounded yearly. Also, find the amount after 3 years at the above rate of compound interest.

A certain sum amounts to ₹ 5292 in 2 years and to ₹ 5556.60 in 3 years at compound interest. Find the

rate and the sum.

A certain sum amounts to ₹ 798.60 after 3 years and ₹ 878.46 after 4 years. Find the interest rate and

the sum.

In what time will ₹ 15625 amount to ₹ 17576 at 4% per annum compound interest?

(i) In what time will ₹ 1500 yield ₹ 496.50 as compound interest at 10% per annum compounded

annually?

(ii) Find the time (in years) in which ₹ 12500 will produce 3246.40 as compound interest at 8% per annum,

interest compounded annually.

If ₹ 16000 invested at 10% p.a. compounded semi-annually, amounts to ₹ 18522, find the time period of

investment.

What sum will amount to ₹ 2782.50 in 2 years at compound interest, if the rates are 5% and 6% for the

successive years?

A sum of money is invested at compound interest payable annually. The interest in two successive years

is ₹ 225 and ₹ 240. Find:

(i) the rate of interest

(ii) the original sum

(iii) the interest earned in the third year.

. On what sum of money will the difference between the compound interest and interest for 2 years be

equal to ₹ 25 if the rate of interest charged for both is 5% p.a.

The difference between the compound interest for a year payable half-yearly simple interest on a

a certain sum of money lent out at 10% for a year is the sum of money lent out.

The amount at compound interest which is calculated yearly on a certain sum of ₹ 1250 after one year

and ₹ 1375 after two years.

The simple interest on a certain sum for 3 years is ₹ 225 and the compound interest ₹ 1250 in one year

and ₹ 1375 in two years. Calculate the rate of interest on the same sum at the same rate for 2 years is ₹ 153.

Find the rate of interest and principal.

A sum of money is lent out at compound interest for two years at 20% p.a., CI reckoned yearly. If the

same sum of money is lent out at compound interest at same rate percent per annum, CI being reckoned

half-yearly, it would have fetched ₹ 482 more by way of interest. Calculate the sum of money lent out.

A sum of money amounts to ₹ 13230 in one year and to ₹ 13891.50 in 1.5 years at compound interest,

compounded semi-annually. Find the sum and the rate of interest p.a.

The present population of a town is 200000. Its population increases by 10% in the first year and 15% in

the second year. Find the population of the town at the end of 2 years.

The present population of a town is 15625. If the population increases at the rate of 4% every year, what

will be the increase in the population in the next 3 years?

The population of a city increases each year by 4% of what it had been at the beginning of two years of

each year. If its present population is 6760000, find:

(i) its population 2 years hence

(ii) its population 2 years ago.

The cost of a refrigerator is ₹ 9000. Its value depreciates at the rate of 5% ever year. Find the total

depreciation in its value at the end of 2 years.

Dinesh purchased a scooter for ₹ 24000. The value of the scooter is depreciating at the rate of 5% per

annum. Calculate its value after 3 years.

Dinesh purchased a scooter for ₹ 24000. The value of the scooter is depreciating at the rate of 5% per

annum. Calculate its value after 3 years.

A factory increased its production of cars from 80000 in the year 2011-2012 to 92610 in 2014-15. Find the

annual rate of growth of production of cars

The value of a machine worth ₹ 500000 is depreciating at the rate of 10% every year. In how many

years will its value be reduced to ₹ 364500?

Afzal purchased an old motorbike for ₹ 16000. If the value of the motorbike after 2 years is ₹ 14440,

find the rate of depreciation.

Mahindra set up a factory by investing ₹ 2500000. During the first two years, his profits were 5% and

10% respectively. If each year the profit was on the previous year’s capital, calculate his total profit.

The value of a property is increasing at a rate of 25% every year. By what percent will the value of

the property increase after 3 years?