Advertisements
Advertisements
प्रश्न
Anand borrows Rs 20,000at 9 % p.a. simple interest for 3 years. He immediately gave it to Prakash at `8 1/2 %` p.a. compound interest compounded annually.
Find Anand's loss or gain.
Advertisements
उत्तर
Here, P=Rs 20,000 ; t=3 years
For simple interest: r = 9 %
S.I. = `("P" xx "r" xx "t")/100`
S.I. = Rs `(20000 xx 9 xx 3)/100`
S.I. = Rs 5400
For compound interest : r = `8 1/2 %`
`"A" = "P" (1 + "r"/100)^"n"`
A = Rs 20000 `(1 + 17/(2 xx 100))^3`
A = Rs `20000 xx 217/200 xx 217/200 xx 217/200`
A = Rs 25545.70
C.I. = A - P
C.I. = Rs (25,545.70 - 20, 000)
C. I. = Rs 5,545.70
The difference in the compound interest and the simple interest= Rs (5,545.705 - 400) = Rs 145.70
Anand gained Rs 145.70
APPEARS IN
संबंधित प्रश्न
The simple interest on a certain sum in 2 years is Rs 1,300, whereas the compound interest on the same sum at the same rate and for the same time is Rs 1,365. Find the rate per cent and the sum.
The simple interest and the compound interest on a certain sum of money for 2 years at the same rate of interest are Rs 8,000 and Rs 8,640 respectively. Calculate the rate of interest and the sum.
Calculate the amount and the compound interest for the following, when cornpounded half-yearly:
Rs 6,000 for `1 1/2` years at 10 % p.a.
Find the difference betlween the compound interest compounded yearly and half-yearly for the following:
Rs 15,000 for `1 1/2` years at 12 % p.a.
On what sum will the difference between compound interest and the simple interest for 3 years at 12% be Rs 1,123.20?
The population of a town in the year 2005 was 4, 25,000. Find its population in the year 2007 if the rate of annual increase is 4% per year.
In a factory the production of scooters rose to 46,305 from 40,000 in 3 years. Find the annual rate of growth of the production of scooters.
The present population of a town is 1, 15200.If it increases at the rate of `6 2/3`% per annum , find
Its population after 2 years
A sum of money is lent out at compound interest for two years at 20% p.a., being reckoned yearly. If the same sum of the money was lent Gut at compound interest of the same rate of percent per annum C.I., being reckoned half yearly would have fetched Rs. 482 more by way of interest. Calculate the sum of money lent out.
A sum of money amounts to ₹ 2,240 at 4 % p.a., simple interest in 3 years. Find the interest on the same sum for 6 months at 3`(1)/(2)`% p.a.
