Advertisements
Advertisements
Question
In how many years will Rs. 7,000 amount to Rs. 9,317 at 10% per annum compound interest ?
Solution
Given : P = Rs. 7,000; A = Rs. 9,317 and r = 10%.
∴ A = `"P"( 1 + "r"/100)^"n"`
⇒ `9,317 = 7,000( 1 + 10/100)^"n"`
⇒ `(9,317)/(7,000) = ( 11/10)^"n"`
⇒ `(1,331)/(1,000) = ( 11/10)^"n"`
⇒ `(11/10)^3 = ( 11/10 )^"n"`
On comparing,
n = 3 years
APPEARS IN
RELATED QUESTIONS
Find the amount and the compound interest on Rs. 12,000 in 3 years at 5% compounded annually.
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.
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.
What principal will amount to Rs. 9,856 in two years, if the rates of interest for successive years are 10% and 12% respectively ?
At what per cent per annum will Rs. 6,000 amount to Rs. 6,615 in 2 years when interest is compounded annually?
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.
Find the time, in years, in which Rs. 4,000 will produce Rs. 630.50 as compound interest at 5% compounded annually.
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.