B Nirmala Shastry solutions for मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई chapter 2 - Compound Interest [Latest edition]

Ramesh invests Rs. 12,800 for three years at the rate of 10% per annum compound interest. Find:

1. the sum due to Ramesh at the end of the first year.
2. the interest he earns for the second year.
3. the total amount due to him at the end of the third year.

A man invests ₹ 5,600 at 14% per annum compound interest for 2 years. Calculate:

1. the interest for the first year.
2. the amount at the end of the first year.
3. the interest for the second year, correct to the nearest rupee.

Aparna borrows a sum of ₹ 2500 for 2 years 3 months at 8% p.a. compounded annually. Find

1. the CI for 2 years 
2. the amount at the end of 2 years 3 months.

How much will ₹ 20,000 amount to in 2 years at CI if the rates for successive years are 8% and 10% p.a. respectively?

If the amount after 2 years on a certain sum is ₹ 4452 with 6% and 5% p.a. for 2 successive years CI, find the sum.

Find the CI on ₹ 64000 for `1 1/2` years at 5% p.a., the interest being compounded half-yearly.

Calculate the amount and CI on ₹ 27,000 for `1 1/2` years at `6 2/3%` p.a., the interest being compounded semi-annually.

The simple interest on a sum of money for 2 years at 4% per annum is ₹ 340. Find

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

Mr. Britto borrowed ₹ 28,000 for 2 years. The rate of interest for the two successive years are 8% and 10% respectively. If he repays ₹ 5240 at the end of the first year, find the outstanding amount at the end of the second year.

Mr. Dubey borrows ₹ 1,00,000 from State Bank of India at 11% per annum compound interest. He repays ₹ 41,000 at the end of first year and ₹ 47,700 at the end of the second year. Find the amount outstanding at the beginning of the third year.

Ranbir borrows Rs. 20,000 at 12% per annum compound interest. If he repays Rs. 8400 at the end of the first year and Rs. 9680 at the end of the second year, find the amount of loan outstanding at the beginning of the third year.

In what time will ₹ 15,000 yield ₹ 4,965 as compound interest at 10% p.a., compounded annually?

What sum of money will amount to ₹ 11,025 in 2 years at 5% p.a. compounded annually?

A sum of ₹ 16,000 earns ₹ 1640 as interest in 2 years when compounded annually. Find the rate of interest.

At what rate per cent per annum compound interest, will ₹ 4000 amount to ₹ 5324 in 3 years?

The CI earned by a sum of money in 2 years at 8% p.a. is ₹ 832. Find the sum.

In what time will a sum of ₹ 48,000 amount to ₹ 55,566 at 5% p.a. compounded annually?

In what time will ₹ 8000 earn ₹ 1261 as CI at 10% p.a., compounded half yearly?

At what rate per cent will a sum of ₹ 18750 amount to ₹ 21870 in 2 years compounded annually?

At what rate percent will a sum of ₹ 64,000 yield ₹ 4921 as CI in `1 1/2` years when compounded half yearly?

Arun borrows ₹ 24,000 from Bryan at SI for 2 years at 5% p.a. and immediately lends out this money to Chand for 2 years at 5% p.a. compounded annually. What is Arun’s gain in this transaction?

The difference between CI and SI for 2 years on the same sum at 5% p.a. is ₹ 240. Find the sum.

The difference between CI and SI on the same sum of ₹ 8000 for 2 years is ₹ 20. Find the rate of interest.

On a certain sum of money, the difference between the CI for a year, payable half-yearly and the SI for a year is ₹ 120. Find the sum lent out, if the rate of interest in both cases is 10% p.a.

On what sum of money will the difference between the compound interest and simple interest for 2 years be equal to ₹ 25 if the rate of interest charged for both is 5% p.a.?

Asha invests ₹ 8000 at a certain rate for 3 years compounded annually. She finds that at the end of one year it amounts to ₹ 9200. Calculate

1. the rate of interest 
2. the interest accrued in the second year 
3. the amount at the end of third year.

Ranjan invests ₹ 15,360 for 2 years at a certain rate compounded annually. At the end of one year, it amounts to ₹ 16,320. Calculate

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

Anshika invests ₹ 5000 compounded yearly. At the end of one year, it amounts to ₹ 5200. Calculate

1. the rate of interest
2. the CI for the second year

A certain sum amounts to ₹ 17,640 in 2 years and to ₹ 18,522 in 3 years at compound interest. Find the rate and the sum.

The amount at compound interest which is calculated yearly on a certain sum of money is ₹ 4840 in 2 years and ₹ 5324 in 3 years. Calculate the rate and the sum.

A sum amounts to ₹ 8820 in 2 years and ₹ 9261 in 3 years compounded annually. Find the rate and the sum.

A sum amounts to ₹ 6600 in 1 year and ₹ 7986 in 3 years at compound interest. Find the rate and the sum.

A sum of money if invested at compound interest for 2 years amounts to ₹ 57,600 and ₹ 65,536 in 4 years. Find the rate and the sum.

Amar invests some money at compound interest and finds that it will amount to ₹ 21,600 in 2 years and ₹ 31,104 in 4 years. Find the rate and the sum.

On a sum of money, the compound interest calculated yearly is ₹ 880 for the second year and ₹ 968 for the third year. Calculate the rate of interest and the sum of money.

When Arpita invests a certain sum of money, she observes that the CI for the second year is ₹ 1380 and for the third year it is ₹ 1587, when it is compounded yearly. Calculate the rate of interest and the sum of money invested.

Ayaan invests a sum of money for 3 years compounded annually. He finds that CI for the second year is ₹ 1260 and ₹ 1323 is the CI for the third year. Calculate the rate of interest and the sum invested by him.

The SI on a certain sum for 2 years is ₹ 1200 and the CI on the same sum at the same rate for 2 years is ₹ 1272. Find the rate of interest and the sum invested.

The SI on a certain sum is ₹ 400 for 2 years and the CI on the same sum at the same rate for 2 years is ₹ 410. Find the rate of interest and the sum borrowed.

There were 7,20,000 people in a town. If the population of this town increases at the rate of 5% p.a., find the population at the end of 3 years.

The present population of a town is 7,98,600. If it increased at the rate of 10% every year, what was its population 3 years ago?

The production of toys in a factory was 40,000 two years ago. The production decreased by 3% in the first year but increased by 5% in the second year. Find the present day production.

Two years ago, a plant was 192 cm tall. At present its height is 243 cm. Find the rate of its growth.

Three years ago, the price of a plot of land was ₹ 1,20,000. If the price of land increased at 10% p.a., what is its present price?

The population of a town increases by 10% every year. If the present population is 60,500, find its population (i) after 2 years (ii) 2 years ago.

The value of a machine depreciates every year by 5% p.a. If the present value is ₹ 4,11,540; what was its value 3 years ago?

A washing machine was bought at ₹ 15,625 three years ago. If its value depreciates at 16% p.a., calculate

1. its present value
2. its value after one year from now

The present value of some equipment in a firm is ₹ 1,09,350. If the rate of depreciation is 10% p.a., how many years ago was its value ₹ 1,50,000?

A piece of machinery was purchased by a factory. It depreciates at 10% every year. At the end of second year its value is ₹ 1,29,600. What was its cost price?

A scooter is bought for ₹ 31,250. If its value after 2 years is ₹ 24,200, find its rate of depreciation.

The machinery of a factory was valued at ₹ 18,400 at the end of 2018. If it depreciated at 8% of the value at the beginning of the year, calculate its value at the end of 2017 and 2019.

The CI on ₹ 5000 at 10% p.a. compounded annually for 2 years is ______.

If Pratap borrows ₹ 6000 for 2 years at 5% p.a. compound interest, then the amount to be repaid to clear the loan is ______.

In how many years will ₹ 7500 borrowed at 20% p.a. compounded yearly will amount to ₹ 10800?

At what rate of compound interest will ₹ 20,000 amount to ₹ 26,450 in 2 years?

The difference between CI and SI in 2 years at 5% on ₹ 42000 is ______.

Find the amount on ₹ 4000 at 20% p.a. compounded half yearly for 1 year.

Find the amount on ₹ 7500 when interest is calculated half yearly for 1 year at 12% p.a.

If the difference between CI and SI for 2 years on ₹ 8000 is ₹ 180 then the rate of interest is ______.

When a sum of money is invested for 3 years at the same rate then maximum interest is earned if invested by ______.

Assertion: Compound Interest for the second year on ₹ 8000 at 15% p.a is ₹ 1380.

Reason: Simple Interest and Compound Interest are same for the first year.

Assertion: A sum of money amounts to ₹ 8400 after 1 year and ₹ 9261 after 3 years compounded annually. Then the rate of interest is 5%.

Reason: To find the rate when 2 non-successive years amounts are given, they are divided.

Assertion: When a certain sum is borrowed at compound interest, the interest paid is ₹ 215 more than if borrowed at simple interest for 2 years at 5% p.a, then the sum of money is ₹ 86,000.

Reason: CI - SI for 2 years = `P(r/100)^2`

Assertion: A machine costing ₹ 50,000 depreciates by 10% every year then its value after 2 years is ₹ 40,500.

Reason: When ₹ 40,500 increases by 10% its value after 2 years will be ₹ 50,000.

Assertion: When a sum is borrowed at 10% for 2 years compounded half-yearly, then `[A = P(1 + 10/100)^4]`.

Reason: When a sum is compounded half-yearly, the rate is halved and time is doubled.

Assertion: The Compound Interest on ₹ 8000 for the second year is ₹ 1680 at 10% p.a., calculated annually.

Reason: `[CI = P(1 + r/100)^n - P]`

Rahul borrows ₹ 15,000 for 2 years at CI annually from a bank. After one year, it amounts to ₹ 16,200. Calculate (i) the rate of interest (ii) the interest for the second year.

A sum of ₹ 20,000 yields ₹ 3328 as compound interest in 2 years. Find the rate of interest.

Amrit Raj borrows ₹ 50,000 from a bank at 9% p.a. compound interest. He repays ₹ 24,500 at the end of first year and ₹ 12,700 at the end of the second year. Find the amount outstanding at the beginning of the third year.

A certain sum amounts to ₹ 26,460 in 2 years and ₹ 27,783 in 3 years when compounded annually. Calculate the rate of interest and the sum borrowed.

Khushnaz borrows a sum of ₹ 8000 for 2 years at SI and immediately lends out this money to another person at CI for the same period at the same rate. If she makes a profit of ₹ 96.80 on this transaction at the end of two years, calculate the rate of interest.

On a sum of money, the difference between CI for a year payable half yearly and the SI for a year is ₹ 80. If the rate of interest is 5%, find the sum.

The price of a car is n ₹ 3,50,000. The value of the car depreciates by 20% in the first year and after that it depreciates by 25% every year. What will be the car’s value after 3 years?

The value of a machine depreciates every year at the rate of 10%. If the value after 3 years after it was purchased is ₹ 10,935, at what price was it purchased?

At what rate % p.a. will a sum of Rs. 4000 yield Rs. 1324 as compound interest in 3 years?

The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1320 and for the third year is Rs. 1452. Calculate the rate of interest and the original sum of money.

The CI earned by a sum of money in 2 years at 5% p.a. is ₹ 4305. Find the sum.

In how many years will a sum of ₹ 14580 earn ₹ 5420 as CI at `11 1/9`% p.a., compounded annually?