Question

Find the principal which gives an amount of Rs.6,174 at 5% per annum in 2 years, Interest being compounded annually

Answer 1

Answer:

answer of your question

Answer 2

$Given \: Amount (A) = Rs \:6174 ,$

$Rate \:of \: interest (R) = 5\%$

$(n) = 2 \: years$

$Let \: Principal = Rs \: P$

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

$\implies 6174 = P\Big( 1 + \frac{5}{100}\Big)^{2}$

$\implies 6174 = P\Big( 1 + \frac{1}{20}\Big)^{2}$

$\implies 6174 = P\Big( \frac{21}{20}\Big)^{2}$

$\implies P = 6174 \times \frac{20\times 20}{21\times 21 }$

$\implies P = \frac{2469600}{441}$

$\implies P = Rs \:5600$

Therefore.,

$\red{ Principal } \green { = Rs \:5600}$

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