Question

akshay had 47115 rup in his account after 4 years and 9 months . the bank affers an interest ratio of 6.5% per annum .how much did akshay deposit in his account initially ?​

Answer 1

$Given \: amount \: (A) = Rs \: 47115$

$Time (T) = 4 \: years \: 9 \: months$

$= \Big(4 + \frac{9}{12}\Big) \: years$

$= \Big(4 + \frac{3}{4}\Big) \: years$

$= \frac{16+3}{4}$

$= \frac{19}{4} \: years$

$Rate \: of \: Interest (R) = 6.5 \%$

$Let \: Akshay's \: initial \: deposit = Rs \: P$

$P\Big( 1 + \frac{TR}{100}\Big) = A$

$\implies P\Big( 1 + \frac{ 19\times 6.5}{4\times 100} \Big) = 47115$

$\implies P\Big( 1 + \frac{1235}{4000}\Big) = 47115$

$\implies P\Big( \frac{4000+ 1235}{4000}\Big) = 47115$

$\implies P\Big( \frac{5235}{4000}\Big) = 47115$

$\implies P = 47115 \times \frac{4000}{5235}$

$\implies P = Rs \: 36000$

Therefore.,

$\red{Akshay's \: initial \: deposit} \green { = Rs \: 36000}$

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