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
Find the amount and the compound interest on Rs. 12,000 in 3 years at 5% compounded annually.
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?
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 amount and the compound interest payable annually on the following :
Rs.32000 for 2 years at 7`(1)/(2)`% per annum.
