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 %.
संबंधित प्रश्न
I borrowed Rs 12000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest, what extra amount would I have to pay?
Vasudevan invested Rs 60000 at an interest rate of 12% per annum compounded half yearly. What amount would he get
(1) after 6 months?
(2) after 1 year?
Find the compound interest at the rate of 10% per annum for two years on that principal which in two years at the rate of 10% per annum gives Rs 200 as simple interest.
Anil borrowed a sum of Rs 9600 to install a handpump in his dairy. If the rate of interest is \[5\frac{1}{2} %\] per annum compounded annually, determine the compound interest which Anil will have to pay after 3 years.
Amit borrowed Rs 16000 at \[17\frac{1}{2} \%\] per annum simple interest. On the same day, he lent it to Ashu at the same rate but compounded annually. What does he gain at the end of 2 years?
Find the principal if the interest compounded annually at the rate of 10% for two years is Rs 210.
In what time will Rs 4400 become Rs 4576 at 8% per annum interest compounded half-yearly?
A sum of money deposited at 2% per annum compounded annually becomes Rs 10404 at the end of 2 years. Find the sum deposited.
What sum of money will amount to Rs 45582.25 at \[6\frac{3}{4} %\] per annum in two years, interest being compounded annually?
If amount on the principal of Rs 6,000 is written as `6000 [1 + 5/100]^3` and compound interest payable half yearly, then rate of interest p.a. is ______ and time in years is ______.
