nd the CI on Rs.6550 at 4% pa for 2 years compounded half yearly(approx) ?Rs.537.1Rs.527.2Rs.530.7Rs.547.1
Question
Find the CI on Rs.6550 at 4% pa for 2 years compounded half yearly (approx)?
- Rs. 537.1
- Rs. 527.2
- Rs. 530.7
- Rs. 547.1
Solution
To find the compound interest (CI) on Rs.6550 at 4% per annum for 2 years compounded half yearly, we need to use the formula for compound interest:
CI = P(1 + r/n)^(nt) - P
where: P = principal amount (the initial amount of money) = Rs.6550 r = annual interest rate (in decimal) = 4/100 = 0.04 n = number of times that interest is compounded per year = 2 (since it's compounded half yearly) t = time the money is invested for in years = 2
First, convert the annual interest rate from a percentage to a decimal by dividing by 100:
r = 4/100 = 0.04
Next, substitute the values into the formula:
CI = 6550(1 + 0.04/2)^(22) - 6550 CI = 6550(1 + 0.02)^4 - 6550 CI = 6550(1.02)^4 - 6550 CI = 65501.08243216 - 6550 CI = 7087.83 - 6550 CI = Rs.537.83
So, the compound interest on Rs.6550 at 4% per annum for 2 years compounded half yearly is approximately Rs.537.83. The closest answer to this is Rs.537.1.
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