A sum put out at 4 % compound interest payable half-yearly amounts to ₹ 6632.55 in 1 frac{1}{2} ye

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6.Interest

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A sum put out at $4 \%$ compound interest payable half-yearly amounts to ₹ $6632.55$ in $1 \frac{1}{2}$ years. The sum (In ₹) is

A

$6530$

B

$6250$

C

$6470$

D

None of these

Solution

(b) Let ₹x be the sum. Then,

$6632.55=x\left(1+\frac{4}{2 \times 100}\right)^{2 \times \frac{3}{2}}=x\left(\frac{51}{50}\right)^{3}$

$\therefore \quad x=\frac{6632 \cdot 55 \times 50 \times 50 \times 50}{51 \times 51 \times 51}=₹ 6250$

Standard 13

Quantitative Aptitude

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