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How to find CI when P=8000, …

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How to find CI when P=8000, R=9% p.a.and time=1 year compounded half yearly???
  • 1 answers

Sia ? 6 years, 5 months ago

By using compound interest formula
P = Rs. 8000
R = 9% p.a. {tex} = \frac{9}{2}\% {/tex} per half year
n = 1 year = 1 × 2 half years
=  2 half years
{tex}\therefore A = P{\left( {1 + \frac{R}{{100}}} \right)^n} = 8000{\left( {1 + \frac{9}{{2 \times 100}}} \right)^2}{/tex}
{tex} = 8000{\left( {1 + \frac{9}{{200}}} \right)^2} = 8000{\left( {\frac{{209}}{{200}}} \right)^2}{/tex}
{tex} = 8000 \times \frac{{209}}{{200}} \times \frac{{209}}{{200}}{/tex}
= Rs. 8736.20
{tex}\therefore {/tex} C.I. = A – P
= Rs. 8736.20 – Rs. 8000
= Rs. 736.20.

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