A sum becomes Rs 64827 in 3 years at 5% per annum compound interest. Find the sum.Rs 56000Rs 52000Rs 48000Rs 60000
Question
A sum becomes Rs 64827 in 3 years at 5% per annum compound interest. Find the sum.Rs 56000Rs 52000Rs 48000Rs 60000
Solution
To find the original sum (or principal), we can use the formula for compound interest, which is:
A = P(1 + r/n)^(nt)
Where: A = the amount of money accumulated after n years, including interest. P = the principal amount (the initial amount of money) r = annual interest rate (in decimal) n = number of times that interest is compounded per year t = time the money is invested for in years
In this case, we know that A = Rs 64827, r = 5% or 0.05 (in decimal), n = 1 (since it's compounded annually), and t = 3 years. We need to find P.
So, we can rearrange the formula to solve for P:
P = A / (1 + r/n)^(nt)
Substituting the given values:
P = 64827 / (1 + 0.05/1)^(1*3) P = 64827 / (1.05)^3 P = 64827 / 1.157625 P = Rs 56000 approximately
So, the original sum was Rs 56000.
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