Question

Amount of simple interest accrued on an amount
of 28500 in seven years is 23940. What is
the rate of interest p.a. ?​

Answer 1

Answer:

tucked just had just yjyny upgrade ov

Answer 2

${\bigstar}\underline{\underline{\textsf{\textbf{ Given\::- }}}}$

$\leadsto$ Principle = Ra.285000

$\leadsto$ Simple Interest = Rs.23940

$\leadsto$ Time = 7 years

$\begin{gathered}\end{gathered}$

${\bigstar}\underline{\underline{\textsf{\textbf{ To Find\::- }}}}$

$\leadsto$ Rate of Interest per annumn

$\begin{gathered}\end{gathered}$

${\bigstar}\underline{\underline{\textsf{\textbf{ Using Formula\::- }}}}$

$\begin{gathered} \dag\underline{\boxed{\boxed{\sf{S.I = \dfrac{PTR}{100}}}}}\end{gathered}$

Where

$\leadsto$ S.I = Simple Interest

$\leadsto$ P = Principle

$\leadsto$ T = Time

$\leadsto$ R = Rate of Interest

$\begin{gathered}\end{gathered}$

${\bigstar}\underline{\underline{\textsf{\textbf{ Solution\::- }}}}$

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

Substituting the all given values

$\begin{gathered} \dashrightarrow {\sf{23940 = \dfrac{28500 \times 7 \times R}{100}}}\end{gathered}$

$\begin{gathered} \dashrightarrow {\sf{23940 = \dfrac{199500\times R}{100}}}\end{gathered}$

$\begin{gathered} \dashrightarrow {\sf{23940} = \dfrac{{\cancel{199500}}\times R}{\cancel{100}}}\end{gathered}$

$\begin{gathered} \dashrightarrow {\sf{23940} = {1995}\times R}\end{gathered}$

$\begin{gathered} \dashrightarrow {\sf{\frac{23940}{1995}}= {R}}\end{gathered}$

$\begin{gathered} \dashrightarrow {\sf{\cancel{\frac{23940}{1995}}}= {R}}\end{gathered}$

$\begin{gathered} \dashrightarrow {\sf{12= R}}\end{gathered}$

$\begin{gathered} \bigstar\underline{\boxed{\sf{R = 12\%}}}\end{gathered}$

$\therefore{\underline{\sf{\red{The \: Rate \: of \: Interest \: is \: 12 \%}}}}$

$\begin{gathered}\end{gathered}$

${\bigstar}\underline{\underline{\textsf{\textbf{ Learn More\::- }}}}$

$\small\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \dag \: \underline{\bf{More \: Useful \: Formula}}\\ {\boxed{\begin{array}{cc}\dashrightarrow {\sf{Amount = Principle + Interest}} \\ \\ \dashrightarrow \sf{ P=Amount - Interest }\\ \\ \dashrightarrow \sf{ S.I = \dfrac{P \times R \times T}{100}} \\ \\ \dashrightarrow \sf{P = \dfrac{Interest \times 100 }{Time \times Rate}} \\ \\ \dashrightarrow \sf{P = \dfrac{Amount\times 100 }{100 + (Time \times Rate)}} \\ \end{array}}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$