Advertisements
Advertisements
Question
When principal P is compounded semi-annually at r % per annum for t years, then amount ______.
Advertisements
Solution
When principal P is compounded semi-annually at r % per annum for t years, then amount `underlinebb(A = P(1 + r/200)^(2t))`.
Explanation:
When principal P is compounded semi-annually at r% per annum for t years.
i.e. Rate `r/2` and time = 2 × t
Then, amount = Principal `(1 + "Rate"/200)^(2 xx "Time")`
i.e. `A = P(1 + r/200)^(2t)`
APPEARS IN
RELATED QUESTIONS
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?
Find the compound interest on Rs 8000 for 9 months at 20% per annum compounded quarterly.
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?
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?
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.
Ishita invested a sum of Rs 12000 at 5% per annum compound interest. She received an amount of Rs 13230 after n years. Find the value of n.
Sum of money amounts to Rs 453690 in 2 years at 6.5% per annum compounded annually. Find the sum.
The compound interest on Rs 8,000 for one year at 16% p.a. compounded half yearly is ______, given that (1.08)2 = 1.1664.
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)`.
If principal = Rs 1,00,000, rate of interest = 10% compounded half yearly. Find
- Interest for 6 months.
- Amount after 6 months.
- Interest for next 6 months.
- Amount after one year.
