4. I borrowed 12,000 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?
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Answer:
P = Rs 12000
R = 6% per annum
T = 2 years
S.I =
P x R x T100 =Rs(12000×6×2100)=Rs1440
To find the compound interest, the amount (A) has to be calculated.
A=P(1+R100)^n=Rs[12000(1+6100)2]
=Rs[12000(1+350)^2]=Rs(12000×5350×5350)
= Rs 13483.20
∴ C.I. = A − P = Rs 13483.20 − Rs 12000 = Rs 1,483.20
C.I. − S.I. = Rs 1,483.20 − Rs 1,440 = Rs 43.20
Thus, the extra amount to be paid is Rs 43.20
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