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
In what time will Rs. 1500 yield Rs. 496.50 as compound interest at 10% per annum compounded annually?
Ranbir borrows Rs. 20,000 at 12% per annum compound interest. If he repays Rs. 8400 at the end of the first year and Rs. 9680 at the end of the second year, find the amount of loan outstanding at the beginning of the third 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.23,7 50 at 12°/o p.a. in `2 1/2` years
Calculate the amount and the compound interest for the following:
Rs.10,000 at 8°/o p.a. in `2 1/4` years
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.
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.
Find the amount and the compound interest on the following :
Rs.16000 for 3 years at 10%, 8% and 6% for successive years.
