#### Question

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?

#### Solution

P = Rs 12000

R = 6% per annum

T = 2 years

S.I = `"P x R x T"/100 = Rs ((12000xx6xx2)/100) = Rs 1440`

To find the compound interest, the amount (A) has to be calculated.

`A = P(1 + R/100)^n = Rs [12000(1 + 6/100)^2]`

`= Rs [12000(1 + 3/50)^2] = Rs(12000 xx 53/50xx 53/50)`

= 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

Is there an error in this question or solution?

Solution 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? Concept: Rate Compounded Annually Or Half Yearly (Semi Annually).