Question

the simple interest on ₹2000 for 4 years is ₹400.the rate of interest is​

Answer 1

Given :

⬤ Simple Interest = Rs. 400.

⬤ Principal = Rs. 2000

⬤ Time Taken = 4 years .

To Find :

⬤ Rate of Interest .

Formula Used :

$\bf[\:{Simple \: Interest= \dfrac{P \times{R} \times{T}}{100}}\:]$

• P = Principal
• R = Rate of Interest
• T = Time

Solution :

According to the Formula :-

$\begin{gathered}:\implies\sf{S.I = \dfrac{P\times{R}\times{T}}{100}}\\ \\\end{gathered}$

$\begin{gathered}:\implies\sf{400 = \dfrac{2000 \times{R} \times{4}}{100}}\\ \\\end{gathered}$

$\begin{gathered}:\implies\sf{400 = 20 \times{R} \times{4}}\\ \\\end{gathered}$

$\begin{gathered}:\implies\sf{400 = 80R}\\ \\\end{gathered}$

$\begin{gathered}:\implies\sf{\dfrac{400}{80} = R}\\ \\\end{gathered}$

$\begin{gathered}:\implies\bf{5 = R}\\ \\\end{gathered}$

Therefore , Rate of Interest is 5% .

Check :

400 = P×R×T/100

400 = 2000 × 5 × 4/100

400 = 20 × 5 × 4

400 = 400

Hence Checked .