Find the amount and the compound interest on ₹ 31250 for 18 months at 8% per annum, compounded half-yearly.

₹ 35752

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₹ 32552

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₹ 35152

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₹ 31552

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Solution

The correct option is C ₹ 35152
Given that,
P = ₹ 31250, r = 8 %,
n = 18 months = $\frac{3}{2}$ years

$A = 31250 \times (1 + \frac{8}{2 \times 100})^{\frac{3 \times 2}{2}}$
$= 31250 \times (\frac{208}{200})^{3}$
$= \frac{31250 \times 26 \times 26 \times 26}{25 \times 25 \times 25}$
$= ₹ 35152$

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Standard IX Mathematics

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Find the amount and the compound interest on ₹ 31250 for 18 months at 8% per annum, compounded half-yearly.

The correct option is C ₹ 35152Given that, P = ₹ 31250, r = 8 %, n = 18 months = 32 years A =31250×(1+82×100)3×22 =31250×(208200)3 =31250×26×26×2625×25×25 = ₹ 35152