Advertisements
Advertisements
प्रश्न
Find the difference between the compound interest compounded yearly and half-yearly for the following:
Rs 20,000 for `1 1/2` years at 16 % p.a.
Advertisements
उत्तर
P=Rs 20,000; t = `1 1/2` years
When compounded yearly: r = 16% p.a.
`"A" = "P" (1 + "r"/100)^"n"`
A = Rs 20000 `(1 + 16/100)(1 + 16/100)^(1/2)`
= Rs 20000 × 1.16 × `(1 + 1/2 xx 16/100)`
= Rs 20, 000 x 1.16 x 1.08
= Rs 25,056
C.I. = A - P
= Rs (25,056 - 20,000)
= Rs 5,056
When compounded half-yearly:
`"A" = "P" (1 + "r"/100)^"n"`
A = Rs 20000 `(1 + 8/100)^3`
= Rs 20,000 x 1.08 x 1.08 x 1.08
= Rs 25,194.24
C.l. = A - P
= Rs (25,194.24- 20,000)
= Rs 5,194.24
Hence the difference in the interest=Rs (5,194.24 - 5,056) = Rs 138.24
APPEARS IN
संबंधित प्रश्न
The simple interest and the compound interest on a certain sum of money for 2 years at the same rate of interest are Rs 8,000 and Rs 8,640 respectively. Calculate the rate of interest and the sum.
Calculate the amount and the compound interest for the following, when cornpounded half-yearly:
Rs 6,000 for `1 1/2` years at 10 % p.a.
Calculate the amount and the compound interest for the following:
Rs 20,000 for 2 years if the rates of interest are `12 1/4` and `5 1/2` for the successive years.
On what sum will the difference between compound interest and the simple interest for 2 years at `7 1/2` % be Rs 22.50 ?
The population of a town in the year 2005 was 4, 25,000. Find its population in the year 2007 if the rate of annual increase is 4% per year.
The present population of a town is 1,
0/o per annum 1, 15,200. If it increases at the rate of `6 2/3` % per annum find
Its population 2 years ago.
A new car is purchased for Rs 4, 00,000 .Its value depreciates at the rate of 10% per annum. What will be its value after 4 years?
A building worth Rs 1, 33,100 is constructed on a plot of land worth Rs 72,900. After how many years will the values of both be same, if the land appreciates at 10% p.a. and the building depreciates at 10% p.a.?
Find the Compound Interest on Rs. 2,000 for 3 years at 15% per annum Compounded annually.
Find the difference between the simple interest and compound interest on 2,500 for 2 years at 4% p.a., compound interest being reckoned semi-annualy.
