Question

if rs750 amounts to rs885 in three years at simple interest, find the rate of interest ​

Answer 1

$\mathfrak{\huge{\underline{Solution:}}}$

Principal = Rs 750

Amount = Rs 885

Time = 3 years

$\sf \: S.I = Amount - Principal$

$\sf \: S.I = Rs \: 885 - 750$

$\sf \: S.I = Rs \: 135$

$\textbf{\huge{\underline{To\:Find\:Rate:}}}$

Inserting Formula :

$\sf \: Rate = \dfrac{S.I \times 100}{P \times T}$

Putting Values :

$\sf \: Rate \: = \dfrac{135 \times 100}{750 \times3 }$

$\sf \: Rate = \cancel \dfrac{13500}{2250}$

$\boxed{\boxed{Rate\:= 6\%}}$

Answer 2

Answer :

The rate of the interest is 6%.

Step-by-step explanation:

Given :

Principal = Rs 750.

Amount = Rs 885.

Time = 3 years.

S.I = Rs 885 - 750

⇒ Rs 135

∵ S.I = Amount -  Principal.

Rate = ?

To Find :

The rate of the interest.

We know that :

$\bigstar\;\boxed{\sf Rate = \dfrac{S.I \times 100}{P \times T}}}$

Put the values,

$\sf\\\\\implies \dfrac{135 \times 100}{750 \times3 }\\ \\ \\ \implies \dfrac{13500}{2250}\\ \\ \\ \implies 6$

∴ The rate of the interest is 6%.