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
Advertisements
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
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.17,500 at 12°10 p.a. in 3 years
Calculate the amount and the compound interest for the following:
Rs. 76, 000 at 10 °/o p.a. in `2 1/2` years
The value of a machine depreciates by 10%, 12% and 15% in the first 3 years. Express the total depreciation of the machine as a single per cent during the three years.
A sum of money was invested for 3 years, interest being compounded annually. The rates for successive years were 10%, 15% and 18% respectively. If the compound interest for the second year amounted to Rs. 4,950, find 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.
Calculate the amount and compound interest on Rs 20000 for 3 years at 10% per annum, interest being payable annually.
How much will Rs 14000 amounts to 2 years at compound interest, if the rates for the successive years be 5% and 8% respectively?
Find the difference between the compound interest and simple interest on Rs 20,000 at 12% per annum for 3 years, the compound interest being payable annually.
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.
