Question

Arun took a loan of rupees 12800 for one year at 7 ½% per annum compounded semi annually find amount he has to pay after one year​

Answer 1

$\underline\red{\bold{Answer :- Rs.978}}$.

Step-by-step explanation:

$P=Rs.12800$

$Period =1 year$

$Half \: yearly \: periods \:  N=2$

$Rate \: of \: interest  \: = \: 7 \LARGE \frac{1}{2}$

$= \LARGE \frac{15}{2}$

$Half \: yearly \: interest \:  = \: \LARGE \frac{1}{2 } \times \frac{15}{2}$

$= \LARGE \frac{15}{4}$

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

$= 12800 \LARGE(1 + \frac{15/4}{100} {)}^{2}$

$= 12800 \LARGE( \frac{400 + 15}{400} {)}^{2}$

$= 12800 \times \LARGE \frac{415}{400} \times \frac{415}{400}$

$=Rs.13778$

$Compound \: interest =A−P$

$=Rs.(13778−12800)$

$=Rs.978$

Answer 2

Step-by-step explanation:

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