Interest Compounded Annually and Half Yearly

Q.

Find the compound interest paid when a sum of ₹64, 000 is invested for one year and six months at 5% per annum compounded half yearly.

1. ₹8545

2. ₹5421

3. ₹4830

4. ₹4921

Q. Calculate the compound interest on ₹ 500 over 1 year and 6 months at 20% per annum if the interest rate is compounded half-yearly.

1. ₹ 167.75
2. ₹ 165.50
3. ₹ 160
4. ₹ 665.50

Q. What is the amount Ravi will get at the end of 1 year and 3 months if he invests ₹2000 in a bank at the rate of 10% per annum if the rate is compounded quarterly?

1. ₹4716.50
2. ₹2316
3. ₹3715
4. ₹2262.82

Q. Calculate the compound interest on ₹ 2000 over a period of 1 year at 20% per annum if the interest rate is compounded half yearly.

1. ₹ 420
2. ₹ 300
3. ₹ 100
4. ₹ 400

Q. Calculate the amount on ₹1000 over a period of 1 year 6 months at 20% per annum if interest is compounded half yearly.

1. 1331

Q. Amit took a loan of ₹ 8000 from the bank for 1 year at an interest rate of 20% per annum. Calculate the amount he has to pay to the bank at the end of this period if the interest rate is compounded quarterly.

1. ₹ 9327
2. ₹ 8321
3. ₹ 9423
4. ₹ 9724

Q. What amount will I get at the end of 3 years and 6 months if I invest ₹ 3000 in a bank with an interest rate of 10% compounded half-yearly?

1. ₹ 4221.30
2. ₹ 4200
3. ₹ 6132.50
4. ₹ 5230

Q. Calculate the amount for ₹ 500 which will accumulate over 2 years 6 months at 30% per annum if the interest rate is compounded half yearly.

1. ₹ 1050
2. ₹ 1005.68
3. ₹ 1006
4. ₹ 1123.5

Q. Find the amount of money Vinod will get at the end of 2 years if he invests ₹ 1500 in a bank with an interest rate of 20% compounded half yearly.

1. ₹ 2167
2. ₹ 3200
3. ₹ 2389.20
4. ₹ 2196.15

Q.

In their first year, show $\mathrm{A}$ has $7$ million viewers and show $\mathrm{B}$ has $5$ million viewers. Each year, show $\mathrm{A}$ has $90\%$ of the viewers it had in the previous year. Show $\mathrm{B}$ loses $200,000$ viewers each year. Determine whether the function relating the year to the number of viewers is linear or nonlinear for each show.

Q. Amit took a loan of ₹ 8000 from the bank for 1 year at an interest rate of 20% per annum. Calculate the amount he has to pay to the bank at the end of this period if the interest rate is compounded quarterly.

Q. Rahim borrowed ₹10, 24, 000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.
[3 marks]

Q. What amount will I get at the end of 3 years and 6 months if I invest ₹ 3000 in a bank with an interest rate of 10% compounded half-yearly?

Q. Calculate the compound interest on ₹ 500 over 1 year and 6 months at 20% per annum if the interest rate is compounded half-yearly.

1. ₹ 167.75
2. ₹ 165.50
3. ₹ 160
4. ₹ 665.50

Q. In data collected on the birth rate of children in a village, it was found that the birth of children increased by 20% after every 6 months. Calculate the number of children at the end of the year 2018, if the number of children in the year 2015 was 1000.

1. 2900
2. 3100
3. 3400
4. 2986

Q. Calculate the amount on ₹1000 over a period of 1 year 6 months at 20% per annum if interest is compounded half yearly.

1. 1331

Q. In compound interest, when the interest is compounded quarterly, then the principal changes after every three months.

1. True
2. False

Q.

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

1. six months

2. every year

3. every month

4. quarterly

Q. Calculate the amount and compound interest on ₹ 8000 for 1 year at 9% per annum compound half yearly.
[3 marks]