Question

A sum when round at 6% per annum simple interest amount to rupees 4130 in 3 years. Find the sum.

Answer 1

$\: \: \: \: \: \: \: \: \: \: \: Your \: \: \: \: \: \: \: \: \: \: Answer \\ - - - - - - - - - - - - -$

$Given, \\ Amount = Rs \: \: 4130 \\ Rate = 6\% \: \: p.a . \\Time = 3 \: \: \: years$

$Let \: \: the \: \: sum \: \: be \: \: Rs \: \: P.$

$Now \\ SI = \frac{P \times R \times T}{100} \\ \\ \: \: \: \: \: = \frac{p \times 6 \times 3}{100} \\ \\ \: \: \: \: \: = \frac{9p}{50}$

$Amount = P + SI \\ \\ = > 4130 = p + \frac{9p}{50} \\ \\ = > 4130 = \frac{50p + 9p}{50 }$

$= > 4130 = \frac{59p}{50} \\ \\ = > 59p = 4130 \times 50 \\ \\ = > p = \frac{4130 \times 50}{59} \\ \\ = > p = Rs \: \: 3500$

$Hence, \: \: the \: \: sum \: \: is \: \: Rs \: \: 3500$

$I \: \: hope \: \: it \: \: will \: \: help \: \: you$