Advertisements
Advertisements
प्रश्न
Find the time, in years, in which Rs. 4,000 will produce Rs. 630.50 as compound interest at 5% compounded annually.
Advertisements
उत्तर
Given : P= Rs. 4,000; C.I.= Rs. 630.50 and r = 5%
∴ C.I. = `P[(1 + r/100)^n - 1]`
⇒ 630.50 = `4,000[( 1 + 5/100)^n - 1]`
⇒ `[630.50]/[4,000] = [(21/20)^n - 1]`
⇒ `[1,261]/[8,000] = [(21/20)^n - 1]`
⇒ `[1,261]/[8,000] + 1 = [(21/20)^n - 1]`
⇒ `[9,261]/[8,000] = (21/20)^n`
⇒ `(21/20)^3 = (21/20)^n`
On comparing,
n = 3 years
APPEARS IN
संबंधित प्रश्न
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.
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.
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 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?
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 ?
