Question 1: If the interest is compounded half-yearly, calculate the amount when the principal is Rs. ; the rate of interest is
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. for
months at
per annum.
Answer:
Compounded Yearly
Compounded Half Yearly
Difference
Question 3: A man borrowed Rs. for
under the following terms:
simple interest for the first
;
C.I. for the remaining one year on the amount due after
, 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
Question 4: What sum of money will amount to Rs. in one and half years at
per annum compounded half-yearly?
Answer:
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 Half Yearly
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
Question 7: In what time will Rs. yield Rs.
as compound interest at
per year compounded semi-annually?
Answer:
Compounded Half Yearly
Question 8: Calculate the C.I. on Rs. at
per annum for
, the interest being compounded half-yearly.
Answer:
Compounded Half Yearly
Question 9: Find the difference between compound interest and simple interest on Rs. and in
at
compounded yearly.
Answer:
Compounded Yearly
Simple interest for
S.I. Rs.
Amount
Difference
Question 10: The simple interest on a sum of money for at
per annum is Rs.
. Find:
- The sum of money and
- The compound interest on this sum for
payable half-yearly at double the rate per annum.
Answer:
Simple interest for
Amount
Compounded Half Yearly
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
S.I.
Amount
Difference
Compounded Half Yearly
Compound interest
Difference