Advertisements
Advertisements
Question
At what per cent per annum will Rs. 6,000 amount to Rs. 6,615 in 2 years when interest is compounded annually?
Solution
Amount = `"P"( 1 + r/100)^n`
⇒ 6,615 = `6,000( 1 + r/100 )^2`
⇒ `( 1 + r/100 )^2 = [6,615]/[6,000]`
⇒ 1 + `r/100 = 21/20`
= r = 5%
At 5% per annum the sum of Rs. 6,000 amounts to Rs. 6,615 in 2 years when the interest is compounded annually.
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.
What sum of money will amount to Rs. 5,445 in 2 years at 10% per annum compound interest?
Find the sum on which the compound interest for 3 years at 10% per annum amounts to Rs. 1,655.
At what rate percent compound interest, does a sum of money become 1.44 times of itself in 2 years?
At what rate percent will a sum of Rs. 4,000 yield Rs.1,324 as compound interest in 3 years?
In how many years will Rs. 7,000 amount to Rs. 9,317 at 10% per annum compound interest ?
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 ?
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.