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What is the difference (in Rs.) between the compound interests on Rs. 4000 for 1 year at 12% per annum compounded yearly and half - yearly?

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What is the difference (in Rs.) between the compound interests on Rs. 4000 for 1 year at 12% per annum compounded yearly and half - yearly?


1). 14.4
2). 12.4
3). 10.4
4). 16.4


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Answered by on | Votes 0 |

Compound interest if it was compounded annually can be given as

⇒ CI = 4000{(1 + 12/100) - 1}

⇒ CI = 480

Compound interest if it was compounded half yearly can be given as

⇒ CI = 4000{(1 + 6/100)2 - 1} = 4000{(1.06)2 - 1}

⇒ CI = 4000 × 0.1236 = 494.4

So, difference = 494.4 - 480 = 14.4

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Answered by on | Votes 0 | | Last Updated: 2022-09-27 07:55:09

Compound interest if it was compounded annually can be given as

⇒ CI = 4000{(1 + 12/100) - 1}

⇒ CI = 480

Compound interest if it was compounded half yearly can be given as

⇒ CI = 4000{(1 + 6/100)2 - 1} = 4000{(1.06)2 - 1}

⇒ CI = 4000 × 0.1236 = 494.4

So, difference = 494.4 - 480 = 14.4




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