Advertisements
Advertisements
प्रश्न
The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1320 and for the third year is Rs. 1452. Calculate the rate of interest and the original sum of money
उत्तर
C. I. for the third year = Rs. 1452.
C. I. for the second year = Rs. 1320
S.I. on Rs. 1320 for one year = Rs. 1452 – Rs. 1320 = Rs. 132
∴ Rate of Interest = `(132xx100)/(1320) = 10%`
Let P be the original sum of money and r be the rate of interest.
Amount after 2 years – Amount after one year = C.I. for the second year.
`P(1 + 10/100)^2 - P(1 + 10/100) = 1320`
`=> P[(110/100)^2 - (110/100)] = 1320`
`=> P[(11/10)^2 - 11/10] = 1320`
`=> P [(121/100) - 11/10] = 1320`
`=> P == (1320 xx 100)/111 = Rs 12000`
Thus, rate of interest is 10% and original sum of money is Rs.12,000
APPEARS IN
संबंधित प्रश्न
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?
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.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 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.
Nikita invests Rs.6,000 for two years at a certain rate of interest compounded annually. At the end of first year it amounts to Rs.6,720. Calculate:
(a) The rate of interest.
(b) The amount at the end of the 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?
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.
