Advertisements
Advertisements
प्रश्न
The simple interest on a certain sum of money for 3 years at 5% per annum is Rs.1,200. Find the amount and the compound interest due on this sum of money at the same rate and after 2 years. Interest is reckoned annually.
Advertisements
उत्तर
Let Rs.X be the sum of money.
Rate = 5 % p.a. Simple interest = Rs.1,200, n = 3 years.
`1,200 = [ "X" xx 5 xx 3 ]/100`
⇒ X = `[ 12,00,000 ]/15`
⇒ X = 8,000
The amount due and the compound interest on this sum of money at the same rate and after 2 years.
P = Rs. 8,000 ; rate = 5% p.a., n = 3 years
∴ A = P`( 1 + r/100 )^n`
⇒ A = 8,000`(1 + 5/100)^2`
⇒ A = 8,000(1.1025)
⇒ A = 8,820
C.I. = A - P
⇒ C.I. = 8,820 - 8,000
⇒ C.I. = 820
The amount due after 2 years is Rs. 8,820 and the compound interest is Rs. 820.
APPEARS IN
संबंधित प्रश्न
In what time will Rs. 1500 yield Rs. 496.50 as compound interest at 10% per annum compounded annually?
In what period of time will Rs. 12,000 yield Rs. 3972 as compound interest at 10% per annum, if compounded on a yearly basis?
Calculate the amount and the compound interest for the following:
Rs.30,000 at 8°/o p.a. in `2 1/2` years
Calculate the amount and the compound interest for the following:
Rs.22, 500 at 12 °/o p.a. in `1 3/4` years
Calculate the amount and the compound interest for the following:
Rs.16, 000 at 15 °/o p.a. in `2 2/3` years
The value of a refrigerator depreciates by 8% of its value at the beginning of the year. Find the original value of the refrigerator if it depreciated by Rs 2,392 in the second year.
A certain sum of money invested at compound interest compounded annually amounted to Rs 26,450 in 2 years and to Rs 30,417.50 in 3 years. Calculate the rate of interest and the sum invested.
The value of a machine, purchased two years ago, depreciates at the annual rate of 10%. If its present value is Rs.97,200, find:
- Its value after 2 years.
- Its value when it was purchased.
Rohit borrows Rs. 86,000 from Arun for two years at 5% per annum simple interest. He immediately lends out this money to Akshay at 5% compound interest compounded annually for the same period. Calculate Rohit's profit in the transaction at the end of two years.
A man borrows Rs.20000 at 10% per annum compound interest payable annually. If he repays Rs.5000 at the end of the first year and Rs.10000 at the end of the second year; how much should he pay at the end of the third year in order to clear the account? Find the answer correct to the nearest rupee.
