Question

Find the rate percent if the principal is ₹100,tine is 7 years and amount is ₹200

Answer 1

Question:-

• Find the rate percent if the principal is ₹100, time is 7 years and interest is ₹200.

Given:-

• Principal = ₹100 (P)
• Time = 7 (T)
• Simple Interest = ₹200 (SI)

To Find:-

• Rate percentage

Solution:-

Just apply the Formula of Simple Interest.

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\:SI \: = \: \frac{P \: × \: R \: × \: T}{100} }} }\\ \\\end{gathered}\end{gathered}$

Fill the values which are given

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: 200 \: = \: \frac{100 \: × \: R \: × \: 7}{100} \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: \frac{200 \: \times \: 100}{100 \: \times \: 7} \: = \: \: R \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: \frac{200 \:}{ \: 7} \: = \: \: R \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: 28.57 \: = \: \: R \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\:Rate \: = \: 28.57 }} }\\ \\\end{gathered}\end{gathered}$

Verification:-

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\:SI \: = \: \frac{P \: × \: R \: × \: T}{100} }} }\\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: 200 \: = \: \frac{100 \: × \: 28.57 \: × \: 7}{100} \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: 200 \: = \: \frac{20000}{100} \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\:₹200\: = \: ₹200}} }\\ \\\end{gathered}\end{gathered}$

Hence, Proved

Therefore:-

• Rate = 28.57%