Question

In what time will Rs. 440 become Rs. 4576 at 8% per annum interest
compounded half yearly?​

Answer 1

Answer:

Amount=Rs.4576

Principal= Rs.4400

R=8%

A=P(1+r÷200)²n

4576=4400(104/100)²n

4567/4400=(104/100)²n

104/100=(104/100)²n

2n=1

n=1/2 years or 6 months

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Answer 2

Answer :

let the time period be n years ,

R = 8% = 4 % ( Half yearly )

Thus , we have :

A = P ( 1 + R / 100 )^n

$4576 \: = \: 4400 \: (1 + \frac{4}{100} ) \\ 4576 = 4400( {1.04})^{n} \\ ( {1.04})^{n} = \frac{4576}{4000} \\( {1.04})^{n} = 1.04 \\ ( {1.04})^{n} = {1.04}^{1}$

On comparing both the sides , we get :

n = 1

Thus , the required time is Half a year .

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