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.
Advertisements
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
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.
What sum of money will amount to Rs. 5,445 in 2 years at 10% per annum compound interest?
On what sum of money will the compound interest for 2 years at 5% per annum amount to Rs. 768.75?
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 rate percent will a sum of Rs. 4,000 yield Rs.1,324 as compound interest in 3 years?
Find the time, in years, in which Rs. 4,000 will produce Rs. 630.50 as compound interest at 5% compounded annually.
A sum of Rs 44,200 is divided between John and Smith, 12 years and 14 years old respectively, in such a way that if their portions be invested at 10% per annum compound interest, they will receive equal amounts on reaching 16 years of age.
(i) What is the share of each out of Rs44,200 ?
(ii) What will each receive, when 16years old ?
Find the difference between compound interest and simple interest on Rs. 8,000 in 2 years and at 5% per annum.
Find the amount and the compound interest payable annually on the following :
Rs.32000 for 2 years at 7`(1)/(2)`% per annum.
