Math, asked by matheshp, 11 months ago

at what rate percent compound interest will Rs. 400 amount to Rs. 441 in 2 years?​

Answers

Answered by jain260499
15

Answer:

hope this will help you

Attachments:
Answered by mysticd
11

 Given \: Principal (P) = Rs \: 400 ,

 Amount (A ) = Rs \:441

 n = 2 \:years

 Let \: Rate \:of \: interest = R

\boxed{\pink{ P\Big( 1 + \frac{R}{100}\Big)^{n} = A}}

\implies 400\Big( 1 + \frac{R}{100}\Big)^{2} = 441

\implies \Big( 1 + \frac{R}{100}\Big)^{2} =\frac{ 441}{400}

\implies \Big( 1 + \frac{R}{100}\Big)^{2} =\Big(\frac{ 21}{20}\Big)^{2}

 \implies 1 + \frac{R}{100} = \frac{21}{20}

 \implies  \frac{R}{100} = \frac{21}{20}-1

 \implies  \frac{R}{100} = \frac{21-20}{20}

 \implies R = \frac{ 100}{20}

 \implies R = 5 \%

Therefore.,

 \red{ Rate \:of \: interest }\green { = 5 \%  }

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