Advertisements
Advertisements
प्रश्न
Find the difference between compound interest and simple interest on Rs. 8,000 in 2 years and at 5% per annum.
उत्तर
Given : P = Rs. 8,000, R = 5%, T = 2 years
For simple interest,
S.I. = `[ "P" xx "R" xx "T"]/100`
= `[8,000 xx 5 xx 2]/100`
= Rs. 800
For compound interest,
`"A" = "P"( 1 + r/100 )^n`
`"A" = 8,000( 1 + 5/100 )^2`
= `8,000 xx 21/20 xx 21/20`
= Rs. 8,820
C.I. = A - P
= Rs. (8,820 - 8,000)
= Rs. 820
Now, C.I. - S.I. = Rs. ( 820 - 800 ) = Rs. 20.
Thus, the difference between the compound interest and the simple interest is Rs. 20.
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?
On what sum of money will the compound interest for 2 years at 5% per annum amount to Rs. 768.75?
At what per cent per annum will Rs. 6,000 amount to Rs. 6,615 in 2 years when interest is compounded annually?
At what rate percent will a sum of Rs. 4,000 yield Rs.1,324 as compound interest in 3 years?
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.
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 amount and the compound interest payable annually on the following :
Rs.32000 for 2 years at 7`(1)/(2)`% per annum.
