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

Answer:

; Compounded half yearly year

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

Answer:

Compounded Yearly

; Compounded yearly year

Compounded Half Yearly

; Compounded half yearly year

Difference

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

- simple interest for the first years;
- C.I. for the remaining one year on the amount due after 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

Amount

Compound interest for the remainder of the term

; Compounded half yearly year

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

Answer:

; Compounded half yearly year;

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

Answer:

A’s investment: Compounded Yearly

; Compounded yearly year

Compounded Half Yearly

; Compounded half yearly year

Difference

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

Answer:

Compounded Half Yearly

; Compounded half yearly year

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

Answer:

Compounded Half Yearly

; Compounded half yearly year

years

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

Answer:

Compounded Half Yearly

; Compounded half yearly year

Question 9: Find the difference between compound interest and simple interest on Rs. and in at compounded yearly.

Answer:

Compounded Yearly

; Compounded yearly year

Simple interest for years

S.I. Rs.

Amount

Difference

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

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

Answer:

Simple interest for years

Amount

Compounded Half Yearly

; Compounded half yearly year

Compound interest

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

Answer:

Simple interest for years

S.I.

Amount

Difference

Compounded Half Yearly

; Compounded half yearly year

Compound interest

Difference