Question

Challenge for genius and maths arryabhatt

What sum will amount to Rs 4590 at 12% per annum simple interest in 3 years?​

Answer 1

EXPLAINED CLEARLY IN THE PICTURE

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Answer 2

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Solution

Let the required sum be RS 100

$then \: si \: = \: rs \: (100 \times 12 \times 3 \times \frac{1}{100 } \\ = rs \: 36.$

Amount = Rs (100+36) = RS 136

If amount is Rs 136, then sum= RS 100.

$if \: amount \: is \: rs \: 1 \: then \: sum \: rs \: \\ \frac{100}{136} \times 4590 = rs3375.$

Hence, the required sum is Rs 3375.

Alternative Method

Let the required sum be x.

$then \: si \: = \: rs \: (x \times \frac{12}{100} \times 3) = rs \\ \frac{9x}{25} .$

$amount \: = rs \: (x + \frac{9x}{25} ) = rs \: \frac{34x}{25}$

But, amount= Rs 4590 (given).

$therefore \: \frac{34x}{25} = 4590$

$= x = (4590 \times \frac{25}{34}$

$= x = 3375$

Hence, the required sum is Rs 3375.