Advertisements
Advertisements
प्रश्न
Find the difference between compound interest and simple interest on Rs.12,000 and in `1 1/2` years at 10% compounded yearly.
Advertisements
उत्तर
Given: P = Rs. 12,000
n = `1 1/2` years
r = 10%
Formula: S.I. = `[ P xx R xx T ]/100`
= `[ 12,000 xx 10 xx 3/2 ]/100`
= Rs. 1,800
To Calculate C.I. annually
P = Rs. 12,000
n = 1 year
r = 10%
A = `P( 1 + r/100)^n (1 + r/200)^(1/2xx2)`
= `12,000( 1 + 10/100 ) (1 + 10/200)`
= `12000 xx 11/10 xx 21/20`
= 660 × 21
= Rs. 13,860
C.I = 13860 − 12000
= 1860
So Difference between C.I
= C.I − S.I
= 1860 − 1800
= ₹ 60
APPEARS IN
संबंधित प्रश्न
If the interest is compounded half-yearly, calculate the amount when principal is Rs. 7,400; the rate of interest is 5% per annum and the duration is one year.
What sum of money will amount to Rs. 27,783 in one and a half years at 10% per annum compounded half yearly?
At what rate of interest per annum will a sum of Rs. 62,500 earn a compound interest of Rs. 5,100 in one year? The interest is to be compounded half yearly.
In what time will Rs. 1,500 yield Rs. 496.50 as compound interest at 20% per year compounded half-yearly ?
A man borrows ₹ 4000 at 14% p.a., compound interest, being payable half-yearly. Find the amount he has to pay at the end of 1`(1)/(2)` years.
Calculate the amount and compound interest to the nearest rupee on Rs 42000 for 2 years at 8% per annum, interest being payable half-yearly.
A man lends Rs 15000 at 10.5% per annum C.I., interest reckoned yearly, and another man lends the same sum at 10% per annum, interest being reckoned half-yearly. Who is the gainer at the end of one year and by how much?
A man borrows Rs.6500 at 10% per annum compound interest payable half-yearly. He repays Rs.2000 at the end of every six months. Calculate the amount outstanding at the end of the third payment. Give your answer to the nearest rupee.
Find the amount and the compound interest on the following :
Rs.15000 for 2years at 8% per annum compounded semi-annually.
Find the amount and compound interest on Rs.50000 on 1`(1)/(2)` years at 8% p.a. compounded half-yearly.
