Question

In what time will a sum of rs 3750 at 20% per annum compounded annually amount to rs 6480?on w

Answer 1

$\boxed{\boxed{\boxed{\bold{\pink{solution :\longrightarrow }}}}}$

$\boxed{\boxed{\boxed{\bold{\blue{Given,}}}}}$

$\bold{Principal \: (P) = Rs \: \: 3750}$

$\bold{Amount \: (A) = Rs \: \: 6480}$

$\bold{Rate \: (R) = 20\% \: \: p.a.}$

$\bold\red{Let \: \: the \: \: time \: \: be \: \: T \: \: years.}$

$\bold\blue{Since \: \: compounded \: \: annually}$

$\bold\green{We \: \: know \: \: that}$

$\bold{Amount = P \times (1 + \frac{R}{100} ) {}^{T} }\\ \\ \bold{= > 6480 = 3750 \times (1 + \frac{20}{100} ) {}^{T}}$

$\bold{ = > \frac{6480}{3750} = ( \frac{120}{100} ) {}^{T}} \\ \\ \bold{= > \frac{216}{125} = ( \frac{6}{5} ) {}^{T}} \\ \\\bold{ = > (\frac{6}{5} ) {}^{3} = (\frac{6}{5} ) {}^{T}} \\ \\\bold{ = > T = 3 \: \: \: years}$

$\boxed{\boxed{\boxed{\bold{Hence, \: \: the \: \: time \: \: is \: \: 3 \: \: years.}}}}$

$\boxed{\boxed{\boxed{\mathfrak{\green{I \: \: hope \: \: it \: \: will \: \: help \: \: you.}}}}}$