Advertisements
Advertisements
प्रश्न
In what time will Rs 4400 become Rs 4576 at 8% per annum interest compounded half-yearly?
Advertisements
उत्तर
Let the time period be n years.
R = 8 % = 4 % (Half - yearly)
Thus, we have:
\[A = P \left( 1 + \frac{R}{100} \right)^n \]
\[4, 576 = 4, 400 \left( 1 + \frac{4}{100} \right)^n \]
\[4, 576 = 4, 400 \left( 1 . 04 \right)^n \]
\[ \left( 1 . 04 \right)^n = \frac{4, 576}{4, 000}\]
\[ \left( 1 . 04 \right)^n = 1 . 04\]
\[ \left( 1 . 04 \right)^n = 1 . {04}^1 \]
On comparing both the sides, we get:
n = 1
Thus, the required time is half a year.
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?
Swati took a loan of Rs 16000 against her insurance policy at the rate of \[12\frac{1}{2} %\] per annum. Calculate the total compound interest payable by Swati after 3 years.
Ramesh deposited Rs 7500 in a bank which pays him 12% interest per annum compounded quarterly. What is the amount which he receives after 9 months.
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.
Daljit received a sum of Rs. 40000 as a loan from a finance company. If the rate of interest is 7% per annum compounded annually, calculate the compound interest that Daljit pays after 2 years.
Rakesh lent out Rs 10000 for 2 years at 20% per annum, compounded annually. How much more he could earn if the interest be compounded half-yearly?
Romesh borrowed a sum of Rs 245760 at 12.5% per annum, compounded annually. On the same day, he lent out his money to Ramu at the same rate of interest, but compounded semi-annually. Find his gain after 2 years
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?
Find the rate percent per annum, if Rs 2000 amount to Rs 2315.25 in an year and a half, interest being compounded six monthly.
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 ______.
