Find the compound interest on Rs. 16000 at the rate of 5% pep.a for 2 years. Compounded annually?
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Answer:
D=Rs16000Ifinterestarequaterly⇒ThenRate=220=2years⇒C.I=16000[1+10010]2⇒C.I=16000[1011]2C.I=16000×1011×1011=16×12×10=19360rupees
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Given :-
- Rs. 16000 at the rate of 5% per annum for 2 years compounded annually
To find :-
- Compound interest
Solution :-
- Principle (P) = Rs.16000
- Rate (R) = 5 %
- Time (n) = 2 years
As we know that
→ Amount = Principle(1 + Rate/100)ⁿ
→ A = P(1 + R/100)ⁿ
→ A = 16000(1 + 5/100)ⁿ
→ A = 16000(1 + 1/20)²
→ A = 16000(20 + 1/20)²
→ A = 16000 × (21/20)²
→ A = 16000 × 21/20 × 21/20
→ A = 800 × 21 × 21/20
→ A = 40 × 21 × 21
→ A = 40 × 441
→ A = Rs.17640
Hence,
- Amount is Rs.17640
Now,
→ Compound Interest = Amount - Principle
→ Compound Interest = 17640 - 16000
→ Compound Interest = Rs.1640
Therefore,
- Compound interest is Rs.1640
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