Question

what principle will amount to Rs6400 in one and half year at 5 % simple interest ​

Answer 1

Step-by-step explanation:

I hope this answer is useful...

Answer 2

$\begin{gathered}\begin{gathered}\bf Given -  \begin{cases} &\sf{Amount = Rs \: 6400} \\ &\sf{Rate \: = \: 5 \: \% \: p.a.}\\ &\sf{Time \: = \dfrac{3}{2} \: years} \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\bf  To \:  Find :-  \begin{cases} &\sf{Principal}  \end{cases}\end{gathered}\end{gathered}$

Let Principal be Rs x.

Rate = 5 % per annum

Time = 3/2 years

Amount = Rs 6400

We know, that

★ Formula to find Simple Interest

${\sf{ \pink{\star \: Simple \: interest \: = \: \dfrac{P \times R \times T}{100}}}}$

where,

• P denotes Principal

• R denotes Rate

• T denotes Time

Thus,

${\rm{\ Simple \: interest \: = \: \dfrac{x \times \cancel5 \times \dfrac{3}{2} }{ \cancel{100} \: \: \: ^{20} }}}$

$\rm: \implies \: {\rm{\ Simple \: interest \: = \: \dfrac{3x}{40}}}$

Now,

We know,

$\boxed{ \pink{ \rm \: Amount \: = \: Principal \: + \: Simple \: Interest}}$

$\rm: \implies \: 6400 \: = x \: + \: \dfrac{3x}{40}$

$\rm: \implies \: 6400 \: = \: \dfrac{40x + 3x}{40}$

$\rm: \implies \: 6400 \: = \: \dfrac{43x}{40}$

$\rm: \implies \: x \: = \dfrac{6400 \times 40}{43}$

$\rm: \implies \: x \: = \: Rs\: 5953.49$