Question

ankush invests 38725 at 5% per annum compound interest payable annualy for 3 years find principal for 2nd year amout at the end of 2nd year interest for third year interest for first two years pls i really need this rn someone pls help

Answer 1

$Given \: Principal (P) = Rs \:38725$

$Rate \: of \: interest (R) = 5\% \:p.a ,\\Time (T) = 2 \:years$

$Conversion \:period (n) = 2$

$Let \: the \: amount \: at \:the \: end \: 2^{nd} \\year = A$

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

$= 38725\Big( 1+\frac{5}{100}\Big)^{2}\\= 38725\Big( \frac{105}{100}\Big)^{2} \\= 38725\times \frac{21}{20}\times \frac{21}{20} \\= Rs \:42694.31$

$ii) Principal \:for \: 3^{rd} \:year (P) \\= Rs \:42694.31$

$R = 5\% , \\T = 1 \:year$

$Interest \: at \:the \:end \:of \: 3^{rd}\:year \\=\frac{PTR}{100} \\= \frac{42694.31 \times 1 \times 5 }{100} \\= Rs \: 2134.72$

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