Advertisements
Advertisements
प्रश्न
What sum of money will amount to Rs. 27,783 in one and a half years at 10% per annum compounded half yearly?
Advertisements
उत्तर
Given:
Amount, A = ₹ 27,783
Rate, R = 10% per annum
Time, T = 1.5 years = `1 1/2 = 3/2` years
Compounded half-yearly
Convert data for half-yearly compounding
Rate per half-year = `10/2 = 5%`
Number of half-years = 1.5 × 2 = 3
Use compound interest formula
`A = P (1+r/100)^n`
27,783 = P `(1+5/100)^3`
27,783 = P(1.05)3
27,783 = P × 1.157625
`P = 27783/1.157625`
P = ₹ 24,000
APPEARS IN
संबंधित प्रश्न
If the interest is compounded half-yearly, calculate the amount when principal is Rs. 7,400; the rate of interest is 5% per annum and the duration is one year.
A man borrowed Rs.16,000 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 half-yearly.
Find the total amount to be paid at the end of the three years.
In what time will Rs. 1,500 yield Rs. 496.50 as compound interest at 20% per year compounded half-yearly ?
Calculate the C.I. on Rs. 3,500 at 6% per annum for 3 years, the interest being compounded half-yearly.
Do not use mathematical tables. Use the necessary information from the following:
(1.06)3 = 1.191016; (1.03)3 = 1.092727
(1.06)6 =1.418519; (1.03)6 = 1.194052
Find the difference between compound interest and simple interest on Rs.12,000 and in `1 1/2` years at 10% compounded yearly.
A man lends Rs 15000 at 10.5% per annum C.I., interest reckoned yearly, and another man lends the same sum at 10% per annum, interest being reckoned half-yearly. Who is the gainer at the end of one year and by how much?
Simple interest on a sum of money for 2 years at 4% is Rs 450. Find the compound interest at the same rate for 1 year if the interest is reckoned half-yearly.
A man borrows Rs.6500 at 10% per annum compound interest payable half-yearly. He repays Rs.2000 at the end of every six months. Calculate the amount outstanding at the end of the third payment. Give your answer to the nearest rupee.
Find the amount and the compound interest on the following :
Rs.25000 for 2 years at 6% per annum compounded semi-annually.
Find the amount and compound interest on Rs.50000 on 1`(1)/(2)` years at 8% p.a. compounded half-yearly.
