Advertisements
Advertisements
प्रश्न
Anuj and Rajesh each lent the same sum of money for 2 years at 8% simple interest and compound interest respectively. Rajesh received Rs. 64 more than Anuj. Find the money lent by each and interest received.
उत्तर
Let the sum of money lent by both Rs. y
For Anuj
P = Rs.y ; rate = 8% and time = 2 years
∴ S.I. = `[ "P" xx "R" xx "T" ]/100 = [ y xx 8 xx 2 ]/100 = (4y)/25`
For Rajesh
P = Rs. y ; rate = 8% and time = 2 years
∴ C.I. = P`[(1 + r/100)^n - 1] = y[( 1 + 8/100)^2 - 1] = (104y)/(625)`
Given : C.I. - Rs. 64
⇒ `(104y)/(625) - (4y)/(25) = 64`
⇒ `(4y)/(625) = 64`
⇒ `y = [64 xx 625]/4` = Rs. 10,000
Interest received by Anuj = `[ 4 xx 10,000 ]/25` = Rs. 1600
Interest received by Rajesh = `[ 104 xx 10,000 ]/625` = Rs. 1664.
APPEARS IN
संबंधित प्रश्न
Nikita invests Rs. 6000 for two years at a certain rate of interest compounded annually. At the end of the first year, it amounts to Rs. 6720. Calculate:
1) the rate of interest.
2) the amount at the end of the second year.
Calculate the amount and the compound interest for the following:
Rs.40, 000 at `5 1/4` % p.a. in `1 1/3` years
Calculate the amount and the compound interest for the following:
Rs.22, 500 at 12 °/o p.a. in `1 3/4` years
The value of a car depreciated by 10% in the first 2 years and by 8% in the third year. Express the total depreciation of the car as a single per cent during the three years.
The value of a scooter depreciates by 12% of its value at the beginning of the year. Find the original value of the scooter if it depreciated by Rs 2,640 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.
Find the amount and the compound interest payable annually on:
Rs.17500 for 3 years at 8%, 10% and 12% for the successive years.
A man invests Rs 24000 for two years at compound interest, If his money amounts to Rs 27600 after one year, find the amount at the end of second year.
How much will Rs 14000 amounts to 2 years at compound interest, if the rates for the successive years be 5% and 8% respectively?
What sum will amount to Rs.10120 in 2 years at C.I. payable annually, if the rates are 10% and 15% for the successive years?
