Understanding Compound Interest (Rate Compounded Semi Annually)

Q. A person took out a loan of ₹16, 000 from a bank which charges interest compounded quarterly. The annual rate of interest is 10%. How much should be pay back after 9 months to settle the loan.

1. ₹ 17055
2. ₹ 16250.5
3. ₹ 17565
4. ₹ 17230.25

Q.

The difference between simple interest and compound interest on ₹ 1200 for one year at 10% per annum reckoned half-yearly is

1. ₹ 6

2. ₹ 3

3. ₹ 13

4. ₹ 10

Q.

The difference between simple interest and compound interest on ₹ $2400$ for one year at $8\%$ per annum compounded half-yearly is ₹ 3.84.

1. True

2. False

Q. If a sum of ₹ 100 is invested at 20% per annum compounded half-yearly, then find the amount after 1 year 6 months.

1. 133.1

Q. Arun deposited ₹ 5000 in a bank which compounds interest half yearly at an annual rate of interest is 6%. How much would he get back after two years?

1. ₹ 5305
2. ₹ 5306
3. ₹ 5628
4. ₹ 5912

Q. Maria invested ₹8, 000 in a business. She would be paid interest at 5% per annum compounded annually. Find
(A) The amount credited against her name at the end of the second year.
(B) The interest for the 3rd year.

Q.

Calculate the C.I. to be paid when a sum of ₹20, 000 is taken for one year at 10% per annum compounded semi annually.

1. ₹2050

2. ₹2060

3. ₹2080

4. ₹2070

Q.

Question 37

If amount on the principal of Rs 6000 is written as $6000{(1+\frac{5}{100})}^3$ and compound interest payable half-yearly, then rate of interest per annum is ___ and time (in years) is ___.

Q. Ram deposited ₹ 5000 in a bank which compounds interest half yearly at an annual rate of 6% and Rahim depoisted same amount in different back which compounds interests quarterly at the same rate. Who will get more interest after 1 year and by how much?

1. Ram, ₹ 2
2. Ram, ₹4
   
3. Rahim, ₹ 2
4. Rahim, ₹ 4

Q. A certain sum was borrowed at 15% per annum. If at the end of 2 years, Rs 1, 290 was compounded as C.I., then find the sum borrowed.

Q. The population of a city is 20, 000. If the rate of increase is 25% every year, then find the population of the city after 2 years.

Q.

The C.I. to be paid when a sum of ₹ 30, 000 is taken for one year at 8% per annum compounded quarterly is

1. ₹ 2, 243 (approx)

2. ₹ 2, 473 (approx)

3. ₹ 2, 383 (approx)

4. ₹ 2, 1243 (approx)

Q.

The C.I. to be paid when a sum of ₹ 1, 600 is taken for 24 months at 8% per annum compounded semi annually is

(Calculator may be used for calculations)

1. ₹ 260 (approx)

2. ₹ 265 (approx)

3. ₹ 272 (approx)

4. ₹ 284 (approx)

Q.

The C.I. to be paid when a sum of ₹ 10, 000 is taken for one year at 10% per annum compounded quarterly is

1. ₹ 938 (approx)

2. ₹ 1, 038 (approx)

3. ₹ 1, 138 (approx)

4. ₹ 1, 238 (approx)

Q.

The C.I. to be paid when a sum of ₹ 4, 000 is taken for one year at 6% per annum compounded semi annually is

(Calculator may be used for calculations)

1. ₹ 243.6

2. ₹ 203.6

3. ₹ 223.6

4. ₹ 263.6

Q.

The C.I. to be paid when a sum of ₹ 40, 000 is taken for one and a half years at 12% per annum compounded semi annually is

(Calculator may be used for calculations)

1. ₹ 10, 599 (approx)

2. ₹ 10, 699 (approx)

3. ₹ 10, 799 (approx)

4. ₹ 10, 499 (approx)

Q.

In compound interest, when the interest is compounded half-yearly, the principal changes every

1. every month

2. quarterly

3. six months

4. every year

Q.

The rate of interest denotes the interest earned per every ____ rupees.

1. 10

2. 100

3. 1000

4. 10000