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What will be the amount after 1 year on a sum of Rs. 32,000 at 20% per annum, when the interest is compounded half yearly?
1. 38720
2. 3862
3. 3672
4. 67200

1 Answer

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Best answer
Correct Answer - Option 1 : 38720

Given:

Principal = Rs. 32000

Rate of interest = 20%

Time = 1 year

Formula used:

A = P (1 + r/100)n

Where, A = Amount, P = Principal, n = Time, r = Rate of interest

Calculation:

When interest is compounded half yearly, then

R becomes 20%/2 = 10%  and T becomes 2T

A = P (1 + r/100)n

⇒ A = 32000 × (1 + 10/100)2

⇒ A = 32000 × (11/10) × (11/10)

⇒ A = 32000 × (121/100)

⇒ A = 38720.

∴ The amount is Rs. 38720.

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