Advertisements
Advertisements
प्रश्न
The simple interest on a certain sum of money and at 10% per annum is Rs. 6,000 in 2 years, Find:
- the sum.
- the amount due to the end of 3 years and at the same rate of interest compounded annually.
- the compound interest earned in 3 years.
उत्तर
(i) I = Rs. 6,000, T = 2 years and R = 10%
∴ P = `["I" xx 100]/["R" xx "T"] = [ 6,000 xx 100]/[10 xx 2]` = Rs.30,000
(ii) P = Rs. 30,000, n = 3 years and r = 10%
A = `P( 1 + r/100)^n`
= `30,000( 1 + 10/100)^3`
= `30,000(11/10)^3`
= `30,000 xx 11/10 xx 11/10 xx 11/10`
= Rs. 39,930
(iii) C.I. earned in 3 years = A - P = Rs. (39,930 - 30,000) = Rs. 9,930.
APPEARS IN
संबंधित प्रश्न
Find the amount and the compound interest on Rs. 12,000 in 3 years at 5% compounded annually.
Calculate the amount of Rs. 15,000 is lent at compound interest for 2 years and the rates for the successive years are 8% and 10% respectively.
Calculate the compound interest accrued on Rs. 6,000 in 3 years, compounded yearly, if the rates for the successive years are 5%, 8% and 10% respectively.
Find the sum on which the compound interest for 3 years at 10% per annum amounts to Rs. 1,655.
On a certain sum, the compound interest in 2 years amounts to Rs. 4,240. If the rate of interest for the successive years is 10% and 15% respectively, find the sum.
At what per cent per annum will Rs. 6,000 amount to Rs. 6,615 in 2 years when interest is compounded annually?
At what rate percent will a sum of Rs. 4,000 yield Rs.1,324 as compound interest in 3 years?
A person invests Rs5,000 for three years at a certain rate of interest compounded annually. At the end of two years this sum amounts to Rs6,272. Calculate :
(i) the rate of interest per annum.
(ii) the amount at the end of the third year.
In how many years will Rs. 7,000 amount to Rs. 9,317 at 10% per annum compound interest ?
Find the difference between compound interest and simple interest on Rs. 8,000 in 2 years and at 5% per annum.
