Advertisements
Advertisements
प्रश्न
Calculate the sum of money on which the compound interest (payable annually) for 2 years be four times the simple interest on Rs. 4,715 for 5 years, both at the rate of 5% per annum.
Advertisements
उत्तर
Given : Principal = Rs.4,715; time = 5 years and rate= 5% p.a.
∴ S.I. = `[ "P" xx "R" xx "T" ]/100 = [ 4715 xx 5 xx 5 ]/100 = Rs. 1,178.75`
Then C.I. = Rs.1,178.75 x 4 = Rs. 4,715
Time = 2 years and rate = 5%
∴ C.I. = P`[( 1 + r/100)^n - 1 ]`
⇒ 4,715 = P`[( 1 + 5/100)^2 - 1 ]`
⇒ 4,715 = P`[41/400]`
⇒ P = Rs. `[ 4,715 xx 400 ]/41` = Rs. 46,000.
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:
- the rate of interest.
- the amount at the end of the second year.
Calculate the amount and the compound interest for the following:
Rs.10,000 at 8°/o p.a. in `2 1/4` 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.
Simple interest on a sum of money for 2 years at 4% is Rs. 450. Find compound interest on the same sum and at the same rate for 1 year, if the interest is reckoned half yearly.
Find the compound interest to the nearest rupee on Rs. 10,800 for `2 1/2` years at 10% per annum.
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.
A sum of money is invested at 10% per annum compounded half yearly. If the difference of amounts at the end of 6 months and 12 months is Rs.189, find the sum of money 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.
Ankita bought a gold ring worth Rs.x. The value of the ring increased at 10% per year compounded annually, on which the appreciation for the first year plus the appreciation for the second year amounts to Rs.6300. Find the value of the ring.
