Question

find the amount and the compounde interest on rs 12800 for one year at 15/2% per annum Compounded semi- annually.

Answer 1

$\boxed{\boxed{\boxed{\bold{\green{Solution : \longrightarrow}}}}}$

$\boxed{\boxed{\boxed{\bold{\red{Given,}}}}}$

$P = Rs \: \: 12800$

$T = 1 \: \: year$

$R = \frac{15}{2} \: \% \: p.a.$

$\boxed{\boxed{\bold{\blue{Since \: \: compounded \: \: semi \: annually}}}}$
$We \: \: know \: \: that$

$\boxed{\boxed{\bold{\pink{A = P \times (1 + \frac{R}{ 200} ) {}^{2T}}}}} \\ \\ \: \: \: \: \: = Rs \: \: 12800 \times (1 + \frac{15}{2 \times 200} ) {}^{2 \times 1} \\ \\ \: \: \: \: \: = Rs \: \: 12800 \times (1 + \frac{3}{80} ) {}^{2} \\ \\ \: \: \: \: \: = Rs \: \: 12800 \times \frac{83}{80} \times \frac{83}{80} \\ \\ \: \: \: \: \: = Rs \: \: 13778$

$\boxed{\boxed{\bold{\purple{CI = A - P}}}} \\ \\ \: \: \: \: \: = Rs \: \: (13778 - 12800) \\ \\ \: \: \: \: \: = Rs \: \:978 \: \: \blue{\boxed{ Ans}}$

$\boxed{\boxed{\blue{I \: \: hope \: \: it \: \: will \: \: help \: \: you}}}$