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On a certain sum of money, a man paid an interest of Rs. 5044 after 3 years at a rate of 5% per annum compounded annually. Find the sum.

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On a certain sum of money, a man paid an interest of Rs. 5044 after 3 years at a rate of 5% per annum compounded annually. Find the sum.
1). Rs. 42000
2). Rs. 58000
3). Rs. 31100
4). Rs. 32000


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Answered by on | Votes 0 |

Let the sum be Rs. ‘P’

Compound interest = Amount – Sum

⇒ 5044 = P(1 + 5/100)3 – P

⇒ 5044 = P[(21/20)3 – 1]

⇒ 5044 = P(9261 – 8000]/8000

⇒ P = 5044 × 8000/1261

⇒ P = 32000

∴ The sum is Rs. 32000

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