At what rate percent per annum compound interest would be Rs 10000 amount to Rs 14641 in 2 years interest compounded half yearly?

Correct Answer - Option 4 : 4 years

Given:

Principal = Rs. 10000

Rate of interest = 10%

Amount = Rs. 14641

Formula used:

A = P(1 + R/100)T

Where, A = Amount, P = Principal

R = Rate of interest, T = Time

Calculation:

A = P(1 + R/100)T

⇒ 14641 = 10000(1 + 10/100)T

⇒ (14641/10000) = (11/10)T

⇒ (11/10)4 = (11/10)T

⇒ T = 4 years

∴ The time is 4 years.

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Updated On: 27-06-2022

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