Find the amount and compound interest on ₹16000 for112year at 6% per annum compounded annually.
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Given :-
- P = Rs.16000 .
- T = 1(1/2) years .
- R = 6% per annum .
To Find :-
- A and CI = ?
Solution :-
we know that, when time is in fraction and rate is compounded annually,
- Let Time whole = W .
- Fraction Time = F .
Then, Amount will be :-
- Amount = P[1 + (R/100)]^(W) * [ 1 + {(F * R)/100}]
Putting Values we get,
→ A = 16000 * [1 + (6/100)]¹ * [1 + {(1/2 * 6)/100}]
→ A = 16000 * [1 + (3/50] * [1 + (3/100)]
→ A = 16000 * (53/50) * (103/100)
→ A = (16 * 53 * 103)/5
→ A = Rs.17468.8 (Ans.)
therefore,
→ CI = A - P
→ CI = 17468.8 - 16000
→ CI = Rs.1468.8 (Ans.)
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