CI

Q.

Find the compound interest on Rs 12600 for 2 years at $10\%$ per annum compounded annually. [2 MARKS]

Q.

A bank offers 5% compound interest calculated on a half-yearly basis. A customer deposits Rs. 1600 each on 1^st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

Q.

Find the compound interest on $\mathrm{Rs}.20000$ at $10\%$ per annum for $3$ years.

Q.

Do banks use simple interest or compound interest

Q.

If Rs. 500 amounts to Rs. 583.20 in two years compounded annually, find the rate of interest per annum.

1. 

2. 

3. 

4. (10\%\)

Q. What is the compound interest on a principal of ₹5000 at the rate of 20% for 2 years?

1. ₹2200
2. ₹ 1000
3. ₹ 3000
4. ₹ 2500

Q. The simple interest on Rs 15000 for a time period at 8% per annum is Rs 2400.what will the compound interest on the same sum at the same rate for that time period.

Q. A principal of ₹ 40, 000 is compounded annually at the rate of 10% for 2 years. Find the compound interest earned and is it greater than the simple interest earned at the same rate and for the same time period.

1. ₹ 5400, yes
2. ₹ 8400, yes
3. ₹ 7200, no
4. ₹ 10400, no

Q.

In how many years will Rs 2000 amount to Rs 2662 at 10% p.a. compound interest?

1. 1

2. 3

3. 4

4. 2

Q.

Find the compound interest on ₹ 20, 000 in 3 years, if the rate of interest for the successive years are 10%, 12%, and 15% respectively.

1. ₹ 8336

2. ₹ 7596

3. ₹ 8596

4. ₹ 9546

Q.

Rs 2000 amounts to Rs 2226.05 in two years at compound interest. The rate of interest is ______ .

1. 5%

2. 5.5%

3. 4%

4. 3%

Q.

A principal of ₹ 50, 000 is invested at the rate of 10% for 2 years in compound interest. Find the compound interest and the difference between C.I and S.I.

1. ₹ 10, 500 , ₹ 500

2. ₹ 10, 500 , ₹ 1500

3. ₹ 10, 500 , ₹ 1000

4. ₹ 10, 000 , ₹ 500

Q.

If P is principal, R is rate of interest per annum compounded annually and N is number of years then amount is given by:

1. 

2. 

3. 

4. 

Q.

The time value of money is when the value of any sum of money subject to interest changes with time.

1. True

2. False

Q.

Shalini deposited ₹4, 00, 000 in a bank where she was promised an interest of 10%. She deposited it for two years. Find the difference between the amounts she would receive in case of interest being compounded annually and simple interest, for the same deposit.

1. ₹4000

2. ₹2000

3. ₹1000

4. ₹500

Q.

Rohit borrowed Rs. 24000 at 7.5 percent per year. How much money will he pay at the end of 4th years to clear his debt?

Q.

Question 53

Simple interest on a given amount is always less than or equal to the compound interest on the same amount for the same time period and at the same rate of interest per annum.

Q.

Write down the formula for compound interest after n years. [1 MARK]

Q. At what rate of compound interest per annum will a sum of $Rs.1200$ become $Rs.1348.32$ in $2$ years?

1. $7$%
2. $7.5$%
3. $6$%
4. $6.5$%

Q.

Calculate the compound interest on Rs.$200$ for $1.5$ years at $10\%$ per annum compounded semi annually.

Q.

To gain $25\%$after allowing a discount of $10\%$, the shopkeeper must mark the price of the article which costs him Rs $360$ as

1. $500$

2. $450$

3. $460$

4. $486$

Q. The rate of increase in population is 25% year on year. What will be the population after 2 years if the initial population is 20000?

1. 20000
2. 27250
3. 31250
4. 35000

Q.

How to calculate compound interest?

Q.

A principle of Rs. 40, 000 is deposited in a bank which offers a simple interest at a rate of 10% a year. What is the amount at the end of 2 years?

1. Rs.40000

2. Rs.48000

3. Rs.44000

4. Rs.48000

Q. Which of the following is the correct formula to calculate simple interest?

1. P = ITR
2. I = PTR
3. I = 2PTR
4. R = PTI

Q. Which of the following are the different types of interest?

1. Rate of interest
2. Compound interest
3. Simple interest
4. Principal

Q. Which of the following is the correct formula to calculate the amount in case of Compound Interest?

1. $A=P(1-\frac{r}{100}{)}^t$
2. $A=P(1+rt)$
3. $A=P(1+\frac{r}{100}{)}^t$
4. None of the above

Q.

If the compound interest earned on ₹30000 at 7% per annum is ₹4347, then find the time period (in years).

1. 2

2. $2\frac{1}{2}$

3. 3

4. 4

Q.

A certain sum of money , invested for 4 years at 8 % p.a. simple interest , earns an interest of ₹ 10, 000. Find

(a) the sum of money

(b) the compound interest earned by this money in two years at 12 % p.a. compound interest

1. ₹ 31, 250 , ₹ 7950

2. ₹ 31, 250 , ₹ 39200

3. ₹ 30, 000 , ₹ 8000

4. ₹ 29, 250 , ₹ 6950

Q.

Amrita deposited ₹ 10, 00, 000 in a bank where the rate of interest is 10% compounded annually. She deposited it for a period of three years. Find the difference in the amount, if the interest is calculated in simple interest for the same sum of money and same rate of interest and period.

1. ₹ 31000

2. ₹ 21000

3. ₹ 21000

4. ₹ 53000