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
संबंधित प्रश्न
Anand borrows Rs 20,000at 9 % p.a. simple interest for 3 years. He immediately gave it to Prakash at `8 1/2 %` p.a. compound interest compounded annually.
Find Anand's loss or gain.
Calculate the Amount and Cornpound Interest for the Following, when Cornpounded Annually:
Rs 12,000 for 3 years at 15 % 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.
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 population of a village increases at the rate of 50 per thousand. Its population after 2 years will be 22,050. Find the present population.
A machine was purchased 2 years ago. Its value decreases by 10% every year. Its present value is Rs 19,083.60. For how much money was the machine purchased?
The population of a city is 24,000. In the next 3 years it will be 27,783. Find the rate of growth of the population.
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 mango tree was planted 3 years ago. The rate of growth is 20% per annum. If at present, the height of the tree is 1 m 8 cm, how high was it when planted?
Find the Compound Interest on Rs. 2,000 for 3 years at 15% per annum Compounded annually.
