11.What sum invested at 4% per annum compounded semi-annually amounts
₹7803 at the end of one year?
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Answer:
Let the sum be P.
As, the interest is compounded half-yearly,
∴ R = 2%, T = 2 half years
$latex \therefore A = P \left ( 1+\frac{R}{100} \right )^{T}&s=1$
$latex => 7803 = P \left ( 1+\frac{2}{100} \right )^{2}&s=1$
$latex => 7803 = P \left ( 1+\frac{1}{50} \right )^{2}&s=1$
$latex => 7803 = P\times \frac{51}{50}\times \frac{51}{50}&s=1$
$latex => P = \frac{7803\times 50\times 50}{51\times 51} = 7500Rs&s=1$
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