Question

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Answer 1

Let Sum of money=₹ x
Rate=6 whole 2/3
Time=3 years
Simple Interest=Principal× time× rate/100

$= \frac{x \times 20 \times 3}{3 \times 100} \\ = \frac{x}{5} \: rupees$
Compound interest=
$amount = principal(1 + \frac{rate}{100}) {}^{time} \\ x(1 + \frac{20}{3} \times \frac{1}{100} ) {}^{3} \\ = x(1 + \frac{1}{15} ) {}^{3} \\ = x( \frac{16}{15} ) {}^{3} \\ x \times \frac{16}{15} \times \frac{16}{15} \times \frac{16 }{15} \\ = \frac{4096x}{3375} \\ amount = rs \: \frac{4096x}{3375} \\ ci = amount - principal \\ = \frac{4096x}{3375} - x \\ = \frac{4096x - 3375x}{3375} \\ ci= \frac{721x}{3375}$
According To questions
CI-SI=46
$\frac{721x}{3375} - \frac{x}{5} = 46 \\ \\ \frac{721x - 675x}{3375} = 46 \\ = \frac{46x}{3375} = 46 \\ = x = 46 \times \frac{3375}{46} \\ x = \: rs \: 3375$
So Sum=₹3375

Answer 2

hope it helps you.....
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