Question 1: If the interest is compounded half-yearly, calculate the amount when principal is Rs.7400; the rate of interest is 5% per annum and the duration is one year. [2005]

Answer:

Question 2: Find the difference between the compound interest compounded yearly and half-yearly on Rs.10000 for 18 months at 10% per annum.

Answer:

Compounded Yearly

Compounded Half Yearly

Difference

Question 3: A man borrowed Rs.16000 for 3 years under the following terms:

- 20% simple interest for the first 2 years;
- 20% C.I. for the remaining one year on the amount due after 2 years, the interest being compounded semi-annually. Find the total amount to be paid at the end of the three years.

Answer:

Simple interest for the first two years

Compound interest for the remainder of the term

Question 4: What sum of money will amount to Rs.27783 in one and half years at 10% per annum compounded half yearly?

Answer:

Question 5: A invests a certain sum of money at 20% per annum, interest compounded yearly. B invests an equal amount of money at the same rate of interest per annum compounded half-yearly. If B gets Rs.33 more than A in 18 months, calculate the money invested by each.

Answer:

A’s investment: Compounded Yearly

Compounded Half Yearly

Difference

Question 6: At what rate of interest per annum will a sum of Rs.62500 earn a compound interest of Rs.5100 in one year? The interest is to be compounded half-yearly.

Answer:

Compounded Half Yearly

Question 7: In what time will rs.1500 yield Rs.496.50 as compound interest at 20% per year compounded semi-annually?

Answer:

Compounded Half Yearly

Question 8: Calculate the C.I. on Rs.3500 at 6% per annum for 3 years, the interest being compounded half-yearly.

Answer:

Compounded Half Yearly

Question 9: Find the difference between compound interest and simple interest on Rs.12,000 and in at 10% compounded yearly.

Answer:

Compounded Yearly

Simple interest for 1.5 years

Question 10: The simple interest on a sum of money for 3 years at 5% per annum is Rs.900. Find:

- The sum of money and
- The compound interest on this sum for 1.5 years payable half-yearly at double the rate per annum.

Answer:

Simple interest for 3 years

Compounded Half Yearly

Question 11: The compound interest in one year on a certain sum of money at 10% per annum compounded half-yearly exceeds the simple interest on the same sum at the same rate and for the same period by Rs.30. Calculate the sum.

Answer:

Simple interest for 1 years

Compounded Half Yearly

Difference