Advertisements
Advertisements
प्रश्न
At what rate of interest per annum will a sum of Rs. 62,500 earn a compound interest of Rs. 5,100 in one year? The interest is to be compounded half yearly.
Advertisements
उत्तर
r = ? P = 62,500 C.I = A - P = 5100
A = 5100 + 62500
= 67,600
A = P`(1+ r/200)^(2n)`
`67600 = 62500 (1 + r/200)^2`
= `(1 + r/(200 ))^(2) = [67,600]/[62,500]`
= `(26/25)^2`
= `1 + r/200 = 26/25`
= `r/200 = 26/25 -1`
= `1/5`
`r =200/25`
= 8%
= r = 8
The rate of interest is 8%.
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.
Find the difference between the compound interest compounded yearly and half-yearly on Rs. 10,000 for 18 months at 10% per annum.
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.
What sum of money will amount to Rs. 27,783 in one and a half years at 10% per annum compounded half yearly?
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
Calculate the amount and compound interest to the nearest rupee on Rs 42000 for 2 years at 8% per annum, interest being payable half-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?
Find the amount and the compound interest on the following :
Rs.15000 for 2years at 8% per annum compounded semi-annually.
Find the amount and the compound interest on the following :
Rs.25000 for 2 years at 6% per annum compounded semi-annually.
