Answer :
Final answer:
To calculate the sum that will amount to ₹4,913 in 1 year at a 12.5% interest rate compounded yearly, the principal sum is ₹4,365.07. To calculate the sum that will amount to ₹4,913 in 1-2 years at a 12.5% interest rate compounded half-yearly, the principal sum is ₹4,622.35.
Explanation:
To calculate the sum that will amount to ₹4,913 in 1 year with a 12.5% rate of interest compounded yearly, we can use the formula:
A = P(1 + r)^n
Where A is the final amount, P is the principal (initial sum), r is the rate of interest, and n is the number of years.
Plugging in the values, we have:
A = P(1 + 0.125)^1
4913 = P(1.125)
P = 4913/1.125
P ≈ ₹4,365.07
Therefore, a sum of ₹4,365.07 will amount to ₹4,913 in 1 year at a 12.5% interest rate compounded yearly.
For the second part of the question, to calculate the sum that will amount to ₹4,913 in 1-2 years with a 12.5% rate of interest compounded half-yearly, we can use the formula A = P(1 + r/2)^(2n), where n is the number of half-yearly periods.
Plugging in the values, we have:
A = P(1 + 0.125/2)^(2*1)
4913 = P(1.0625)
P = 4913/1.0625
P ≈ ₹4,622.35
Therefore, a sum of ₹4,622.35 will amount to ₹4,913 in 1-2 years at a 12.5% interest rate compounded half-yearly.
Learn more about Compound Interest here:
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