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.
Advertisements
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
Calculate the amount and the compound interest for the following:
Rs.13,500 at 10°10 p.a. in 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
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 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.
Calculate the amount and compound interest on Rs 20000 for 3 years at 10% per annum, interest being payable annually.
Compute the compound interest for the third year on Rs. 5000 invested for 5 years at 10% per annum, the interest being payable annually.
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?
Priyanka lends Rs.15,500 at 10% for the first year, at 15% for the second year and at 20% for the third year. If the rates of interest are compounded yearly, find the difference between the compound interest of the second year and the third year.
What principal will amount to Rs.15729 in two years, if the rate of interest for successive years are 5% and 7% respectively, the interest is being compounded annually.
