Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Given: P = Rs. 5,000; A = Rs. 6,272 and n = 2 years.
(i) ∴ `"A" = "P"( 1 + r/100)^n`
⇒ `6,272 = 5,000( 1 + r/100 )^2`
⇒ `6,272/5,000 = ( 1 + r/100 )^2`
⇒ `784/625 = ( 1 + r/100 )^2`
⇒ `(28/25)^2 = ( 1 + r/100 )^2`
On comparing,
`28/25 = 1 + r/100`
On solving, we get
r = 12%
(ii) Amount at the third year
= `5,000( 1 + 12/100 )^3`
= `5000(28/25)^3`
= Rs. 7,024.64
APPEARS IN
संबंधित प्रश्न
Find the amount and the compound interest on Rs. 12,000 in 3 years at 5% compounded annually.
What sum of money will amount to Rs. 5,445 in 2 years at 10% per annum compound interest?
What principal will amount to Rs. 9,856 in two years, if the rates of interest for successive years are 10% and 12% respectively ?
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.
Find the time, in years, in which Rs. 4,000 will produce Rs. 630.50 as compound interest at 5% compounded annually.
Divide Rs. 28,730 between A and B so that when their shares are lent out at 10% compound interest compounded per year, the amount that A receives in 3 years is the same as what B receives in 5 years.
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 ?
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.
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.
