Question

Find the simple interest on:
(a) $ 900 for 5 months 10 DAYS at 1% per MONTH . Find the amount also.

Answer 1

Given Principal = $900

Time = 5 months 10 days

Rate = 1 % per month

To Find : Simple Interest and Amount

Solution :

10 days = ⅓ month

We can write time = 5+⅓ = 16/3 months

Then ,

Simple Interest =

$\frac{principal \times rate \times time}{100} \\ \\ \frac{900 \times 16 \times 1}{3 \times 100} \\ \\ = \frac{14400}{300} = 48$

= $48

Amount = Principal + Simple Interest

= $900+$48 = $ 948

The required amount = $948

Answer 2

$\mathfrak{Answer:}$

Amount = $948 & SI = $48.

$\mathfrak{Step-by-Step\;Explanation:}$

$\underline{\underline{\bold{Given\;in\;the\;Question:}}}$

Principle = $ 900.

Rate = 1 % per month.

Time = 5 months and 10 days.

$\boxed{\bold{1\;Month=30\;Days.}}\\\\\\\tt{=5+\dfrac{10}{30}}\\\\\\\tt{=5+\dfrac{1}{3}}\\\\\\\tt{=\dfrac{16}{3}\;months.}\\\\\\\\\boxed{\bold{SI=\dfrac{Principle\times Rate\times Time}{100}}}\\\\\\\tt{=\dfrac{900\times 1\times\dfrac{16}{3}}{100}}\\\\\\\tt{=\dfrac{300\times 16}{100}}\\\\\\\tt{=3\times 16}\\\\\\\tt{=\ \;48.}$

$\boxed{\boxed{\bold{Simple\;Interest=\ \;48.}}}\\\\\\\\\boxed{\bold{Amount=Principle+SI}}\\\\\\\tt{=\ \;900+\ \;48}\\\\\\\tt{=\ \;948.}\\\\\\\\\boxed{\boxed{\bold{Amount=\ \;948.}}}$