Advertisements
Advertisements
प्रश्न
Find the rate at which a sum of money will become four times the original amount in 2 years, if the interest is compounded half-yearly.
Advertisements
उत्तर
Let the rate percent per annum be R.
Then,
\[A = P \left( 1 + R \right)^{2n} \]
\[4P = P \left( 1 + \frac{R}{200} \right)^4 \]
\[ \left( 1 + \frac{R}{200} \right)^4 = 4\]
\[\left( 1 + \frac{R}{200} \right) = 1 . 4142\]
\[\frac{R}{200} = 0 . 4142\]
R = 82 . 84
Thus, the required rate is 82 . 84 %.
APPEARS IN
संबंधित प्रश्न
Find the compound interest on Rs 8000 for 9 months at 20% per annum compounded quarterly.
Surabhi borrowed a sum of Rs 12000 from a finance company to purchase a refrigerator. If the rate of interest is 5% per annum compounded annually, calculate the compound interest that Surabhi has to pay to the company after 3 years.
Find the amount of Rs 2400 after 3 years, when the interest is compounded annually at the rate of 20% per annum.
Find the amount and the compound interest on Rs 8000 for \[1\frac{1}{2}\] years at 10% per annum, compounded half-yearly.
Rekha deposited Rs 16000 in a foreign bank which pays interest at the rate of 20% per annum compounded quarterly, find the interest received by Rekha after one year.
A sum of money was lent for 2 years at 20% compounded annually. If the interest is payable half-yearly instead of yearly, then the interest is Rs 482 more. Find the sum.
What sum will amount to Rs 4913 in 18 months, if the rate of interest is \[12\frac{1}{2} \%\] per annum, compounded half-yearly?
In what time will Rs 4400 become Rs 4576 at 8% per annum interest compounded half-yearly?
Find the rate at which a sum of money will double itself in 3 years, if the interest is compounded annually.
The compound interest on a sum of Rs P for T years at R% per annum compounded annually is given by the formula `P(1 + R/100)`.
