What sum invested at 4% per annum compounded semi-annually amounts to
rupees 7803 at the end of one year?
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Answered by
3
Answer:7500 Rs.
Let the sum be P.
As, the interest is compounded half-yearly,
∴ R = 2%, T = 2 half years
\therefore A = P \left ( 1+\frac{R}{100} \right )^{T}
=> 7803 = P \left ( 1+\frac{2}{100} \right )^{2}
=> 7803 = P \left ( 1+\frac{1}{50} \right )^{2}
=> 7803 = P\times \frac{51}{50}\times \frac{51}{50}
=> P = \frac{7803\times 50\times 50}{51\times 51} = 7500Rs
Hence option [B] is correct answer.
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2
Answer:
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