Advertisements
Advertisements
प्रश्न
Find the sum invested at `12 1/2` p.a. compound interest on which the interest for the third year exceeds that of the first year by Rs 531.25.
Advertisements
उत्तर
Let the sum be P
Interest for first year:
`"P" (1 + 25/(2 xx 100)) - "P"` ..................(i)
Interest for third year:
`"P" (1 + 25/(2 xx 100))^3 - "P" (1 + 25/(2 xx 100))^2` .........(ii)
Subtracting (ii) from (i)
`"P" (1 + 25/(2 xx 100))^3 - "P" (1 + 25/(2 xx 100))^2 - "P" (1 + 25/(2 xx 100)) + "P"` = Rs 531.25
Rs 531. 25 = 1. 423828 P - 1. 265625 P - 1. 125 P + P
Rs 531. 25 = 0. 033203 P
P = Rs 16,000
Hence the sum is Rs 16,000
संबंधित प्रश्न
A sum of Rs. 65000 is invested for 3 years at 8 % p.a. compound interest.
Find the compound interest earned in the last year.
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest ,
Find the amount at the end of third year.
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest,
Find the interest earned in the third year.
Harijyot deposited Rs 27500 in a deposite scheme paying 12 % p.a. compound interest . If the duration of the deposite is 3 years , calculate :
The amount received by him at the end of three years.
Calculate The Amount and the Cornpound Interest for the Following:
Rs 15,000 for 2 years at 6°/o for the first year and 7°/o for tl1e second year.
Rs.16,000 is invested at 5% compound interest compounded per annum. Use the table, given below, to find the amount in 4 years.
| Year ↓ |
Initial amount (Rs.) |
Interest (Rs.) |
Final amount (Rs.) |
| 1st | 16,000 | 800 | 16,800 |
| 2nd | ........... | ........... | ........... |
| 3rd | ........... | ........... | ........... |
| 4th | ........... | ........... | ........... |
| 5th | ........... | ........... | ........... |
Calculate the amount and the compound interest on :
₹ 4,600 in 2 years when the rates of interest of successive years are 10%and 12% respectively.
Govind borrows Rs 18,000 at 10% simple interest. He immediately invests the money borrowed at 10% compound interest compounded half-yearly. How much money does Govind gain in one year?
Calculate the difference between the simple interest and the compound interest on Rs. 4,000 in 2 years at 8% per annum compounded yearly.
A man borrows Rs. 10,000 at 5% per annum compound interest. He repays 35% of the sum borrowed at the end of the first year and 42% of the sum borrowed at the end of the second year. How much must he pay at the end of the third year in order to clear the debt ?
