Question

Find the Simple Interest on Rs. 5000 for 5years at the rate of 2% p.a

Answer 1

Given :

• Principal = Rs.5000
• Rate = 2 %
• Time = 5 years

$\\ \rule{200pt}{3pt}$

To Find :

• Simple Interest = ?

$\\ \rule{200pt}{3pt}$

Solution :

✭ ${\underline{\pmb{\frak{ Formula \; Used \; :- }}}}$

• ${\underline{\boxed{\purple{\sf{ S.I = \dfrac{P \times R \times T}{100} }}}}}$

Where :

• ⊸ S.I = Simple Interest
• ⊸ P = Principal
• ⊸ R = Rate
• ⊸ T = Time

$\\ \qquad{\underline{\rule{150pt}{1pt}}}$

✭ ${\underline{\pmb{\frak{ Calculating \; the \; Interest \; :- }}}}$

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

$\begin{gathered} \dashrightarrow \; \; \sf { S.I = \dfrac{5000 \times 2 \times 5}{100} } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { S.I = \dfrac{5000 \times 10}{100} } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { S.I = \dfrac{50000}{100} } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { S.I = \cancel\dfrac{50000}{100} } \\ \end{gathered}$

$\begin{gathered} {\qquad \; \; {\therefore \; {\underline{\boxed{\orange{\pmb{\frak{ Simple \; Interest = ₹ \; 500 }}}}}}}} \\ \end{gathered}$

$\\ \qquad{\underline{\rule{150pt}{1pt}}}$

✭ ${\underline{\pmb{\frak{ Therefore \; :- }}}}$

❛❛ Simple Interest on this sum of money is ₹ 500 . ❜❜

$\\ {\underline{\rule{300pt}{9pt}}}$

Answer 2

Given:

• Principle = Rs.5000
• Rate = 2 %
• Time = 5 years.

To Find:

• Simple interest = ?

Formula used:

$\\\bigstar \: \: {\underline{\boxed {\bf{\red{\dfrac{P \times R \times T}{100}}}}}}$

wHere,

• P = Rs.5000
• R = 2 %
• T = 5 years

Solution:

we know that ,

$\\\dashrightarrow \: \sf{ \dfrac{P \times R \times T}{100}}$

Substituting values from above formula;

★ Simple Interest :-

$\\{\sf\dashrightarrow S.I =\dfrac{5000\times 2 \times 5}{100}}$

${\sf\dashrightarrow S.I =\dfrac{\cancel{5000}\times 2 \times 5}{\cancel{100}}}$

${\sf\dashrightarrow S.I =50\times 2 \times 5}$

${\sf\dashrightarrow S.I =500}$

${\bigstar{\red{\underline{\boxed {\sf{S.I =500}}}}}}$

∴ The simple interest of the given sum is ₹ 500.