Advertisements
Advertisements
प्रश्न
Find the compound interest at the rate of 5% per annum for 3 years on that principal which in 3 years at the rate of 5% per annum gives Rs 1200 as simple interest.
Advertisements
उत्तर
We know that:
\[P = \frac{SI \times 100}{RT}\]
\[ \therefore P = \frac{1200 \times 100}{5 \times 3}\]
\[ = 8, 000\]
Now,
\[A = P \left( 1 + \frac{R}{100} \right)^n \]
\[ = 8, 000 \left( 1 + \frac{5}{100} \right)^3 \]
\[ = 8, 000 \left( 1 . 05 \right)^3 \]
\[ = 9, 261\]
Now,
CI = A - P
\[ = 9, 261 - 8, 000\]
\[ = 1, 261\]
Thus, the required compound interest is Rs 1, 261.
APPEARS IN
संबंधित प्रश्न
Find the compound interest at the rate of 5% for three years on that principal which in three years at the rate of 5% per annum gives Rs 12000 as simple interest.
Simple interest on a sum of money for 2 years at \[6\frac{1}{2} %\] per annum is Rs 5200. What will be the compound interest on the sum at the same rate for the same period?
Find the amount and the compound interest.
| No. | Principal (₹) | Rate (p.c.p.a.) | Duration (Years) |
| 1 | 2000 | 5 | 2 |
| 2 | 5000 | 8 | 3 |
| 3 | 4000 | 7.5 | 2 |
Mohit invests Rs. 8,000 for 3 years at a certain rate of interest, compounded annually. At the end of one year it amounts to Rs. 9,440. Calculate:
- the rate of interest per annum.
- the amount at the end of the second year.
- the interest accrued in the third year.
Ramesh invests Rs. 12,800 for three years at the rate of 10% per annum compound interest. Find:
- the sum due to Ramesh at the end of the first year.
- the interest he earns for the second year.
- the total amount due to him at the end of the third year.
Find the sum, invested at 10% compounded annually, on which the interest for the third year exceeds the interest of the first year by Rs. 252.
The value of a machine depreciated by 10% per year during the first two years and 15% per year during the third year. Express the total depreciation of the machine, as percent, during the three years.
Calculate the compound interest for the second year on Rs. 15000 invested for 5 years at 6% per annum.
Peter borrows ₹ 12,000 for 2 years at 10% p.a. compound interest. He repays ₹ 8,000 at the end of the first year. Find:
- the amount at the end of the first year, before making the repayment.
- the amount at the end of the first year, after making the repayment.
- the principal for the second year.
- the amount to be paid at the end of the second year, to clear the account.
The present value of a machine is ₹ 16800. It depreciates at 25% p.a. Its worth after 2 years is ₹ 9450
