Formula for Compound Interest

Q.

A man borrows rupees 6000 at 5% compound interest if he repays rupees 1200 at the end of each year find the amount outstanding at the beginning of the third year

Q. In what time will Rs 64000 amount to Rs 68921 at $5\%$ per annum, interest being compounded half - yearly?

1. $1\frac{1}{2}years$
2. $3$
3. $3\frac{1}{2}years$
4. $2\frac{1}{2}years$

Q.

A man invests ₹ 46, 875 at 4 % per annum compound interest for 3 years. Calculate :

(i) the interest for the 1st year

(ii) the amount standing to his credit at the end of 2nd year:

1. Rs 4000

2. Rs 2000

3. Rs 1000

4. Rs 500

Q. What is the compound interest on ₹5000 for 3 years if rate of interest for first, second and third years respectively is $5\%$, $10\%$ and $20\%$.

1. 1930

Q. What principal will amount to ₹38, 976 in two years, if the rates of interest for successive years are $16\%$ and $20\%$respectively?

1. ₹30000
2. ₹26000
3. ₹28000
4. ₹32000

Q.

A certain sum of money is invested at a certain fixed rate compounded yearly. If the interest accured in two years is 44% of the sum borrowed, find the rate of compound interest.

1. 5%

2. 10%

3. 20%

4. 15%

Q.

Question 9

For calculation of interest compounded half-yearly, keeping the principal same, which one of the following is true?
(a) Double the given annual rate and half the given number of years
(b) Double the given annual rate as well as the given number of years
(c) Half the given annual rate as well as the given number of years
(d) Half the given annual rate and double the given number of years

Q.

Question 32

When principal P is compounded semi-annually at r% per annum for t years, then amount = ___

Q.

Amount received on$₹3000$ for two years at the rate of $11\%$per annum is

1. $₹2340$

2. $₹3660$

3. $₹4320$

4. $₹3330$

Q. A certain sum amount to ₹5292 in two years and ₹5556.60 in three years interest being compounded annually. Find the rate of interest and the original sum

Q.

At what rate percent per annum C.I will ₹ 2000 amount to ₹ 2662 in 3 years

1. Rs.432

2. Rs.442

3. Rs.452

4. Rs.430

Q. A man borrow RS.6000 at 5% C.I. per annum. If he repays RS.1200 at end of each year, find the amount of the loan outstanding at the beginning of the third year.

Q.

Anuj and Rajesh each lent the same sum of money for 2 years at 8% simple interest and compound interest respectively. Rajesh received Rs. 64 more than Anuj. Find the money lent by each and interest received.

Q. A man lends ₹12500 at $12\%$ for the first year, at $15\%$ for the second year and at $18\%$for the third year. If the rates of interest are compounded yearly; then the total amount paid by him at the end of third year is ______

1. ₹19998
2. ₹18998
3. ₹17998
4. ₹16998

Q.

Shreya, Karan and Gautam started a business in partnership by investing Rs. 20, 000. At the end of one year, Shreya, Karan and Gautam received Rs. 600, Rs. 1200 and Rs. 200 respectively as profit share. The amount of capital Shreya invested in the business was Rs. 6000. Is this statement true?

1. Yes

2. No

3. Can't be determined

4. Depends upon Gautam's share

Q.

A scooter was bought at ₹42000 and its value depreciated at the rate of 8% per annum. Find its value after one year.

1. ₹48640

2. ₹48000

3. ₹38000

4. ₹38640

Q. A man borrow RS.6000 at 5% C.I. per annum. If he repays RS.1200 at end of each year, find the amount of the loan outstanding at the beginning of the third year.

Q.

Shalini deposited Rs. 4, 00, 000 in a bank where she was promised an interest of 10%. She deposited it for a period of two years. Find the difference in the amount if the interest is calculated in a compounded manner to the amount interested in a simple manner.

1. Rs 4000

2. Rs 2000

3. Rs 1000

4. Rs 500

Q. Compound interest on ₹10000 for 3 years if rate of interest is $5\%$, $8\%$ and $10\%$ for first, second and third years respectively is _____.

1. ₹2774
2. ₹2447
3. ₹7247
4. ₹2474

Q.

What will be the population of a country after 5 years at an annual increase of 10%?

1. Population × (1+ 10/100)⁵

2. Population × (1 - 10/100)^1/5

3. (Population × 10 × 5)/100

4. Population × (10/100)⁵

Q. will amount to ₹1155 in two years, if the compound rates of interest for successive years are $5\%$ and $10\%$respectively?

1. ₹1000
2. ₹800
3. ₹900
4. ₹850

Q.

What sum of money will amount to ₹ 3630 in 2 years at 10 % per annum compound interest ?

1. ₹ 3200

2. ₹ 3000

3. ₹ 2900

4. ₹ 3500

Q.

A man invests Rs. 5000 at a certain rate of interest, compounded annually. At the end of one year, it amounts to Rs. 5600. The rate of interest per annum is

___ %.

Q.

On what sum of money will the difference between simple interest and compound interest for 2 years at 10 % per annum be ₹ 27

1. ₹ 1800

2. ₹ 2500

3. ₹ 2700

4. ₹ 2000

Q. Simple interest on a sum of money for 2 years at 4% is ₹450. Find compound interest of the same sum and at the same rate for 2 years.

1. ₹458
2. ₹449
3. ₹469
4. ₹459

Q.

a certain sum of money is put at compund interest, compounded hlf yearly. if the interest for the two successive half year are Rs650 and Rs760.50; find the rate of interest

Q.

The compound interest on a certain sum of money at $5\%$ per annum for two years is ₹246. Calculate the simple interest on the same sum for three years at $6\%$ per annum.

1. ₹432

2. ₹430

3. ₹452

4. ₹442

Q. Seema invests Rs 5000 compounded yearly.At the end of one year, it amounts to Rs 5200.Calculate:(1)rate of interest (2) C.I. for second year ?

Q.

Kamala borrowed ₹ 26, 400 from a bank to buy a scooter at a rate of 15% interest per annum compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?

1. ₹ 36659.7

2. ₹ 46659.7
3. ₹ 36660
4. ₹ 37545

Q.

The price of a piece of land increases 8% annually.If the land costs Mr. Chopra rs 70, 000 three years ago, at what price to the nearest hundred can he sell the land now?