Question

Find simple interest on Rs.15000 after 8 years at the rate
of 8% p.a. Also find the total amount.

Answer 1

Answer:

The simple interest to the sum Rs. 15,000 for 2 years at a rate of interest 5% per annum is

S.I.=

100

PRT

​

⇒

100

15,000×2×5

​

=1,500.

The interest will be Rs. 1,500

and the amount at the end of 2 years.

=P+I=15000+1500= Rs. 16,500

Answer 2

Given :

• Principal = Rs.15000

• Rate = 8%

• Time = 8years

$\begin{gathered} \\ \rule{200pt}{3pt} \end{gathered}$

To Find :

• Simple Interest = ?
• Total Amount = ?

$\begin{gathered} \\ \rule{200pt}{3pt} \end{gathered}$

Solution :

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

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

${\underline{\boxed{\bold{ \pmb{\sf{Amount = Principal +Simple \: Interest}}}}}}$

Where :

• ⊸ S.I = Simple Interest

• ⊸ P = Principal

• ⊸ R = Rate

• ⊸ T = Time

$\begin{gathered} \\ \qquad{\underline{\rule{150pt}{1pt}}} \end{gathered}$

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

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

$\begin{gathered} \begin{gathered} \dashrightarrow \; \; \sf { S.I = \dfrac{15000 \times 8 \times 8}{100} } \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} \dashrightarrow \; \; \sf { S.I = \dfrac{ 150 \cancel{00} \times 8 \times 8}{ \cancel{100}} } \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} \dashrightarrow \; \; \sf { S.I =150 \times 8 \times 8 } \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} \dashrightarrow \; \; \sf { S.I = 9600} \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} {\qquad \; \; {\therefore \; {\underline{\boxed{\orange{\pmb{\frak{ Simple \; Interest = ₹ \; 9600}}}}}}}} \\ \end{gathered} \end{gathered}$

$\begin{gathered} \\ \qquad{\underline{\rule{150pt}{1pt}}} \end{gathered}$

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

• Amount=Principal+Simple Interest

$\begin{gathered} \begin{gathered} \dashrightarrow \; \; \sf { A. = 9600 + 15000} \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} \dashrightarrow \; \; \sf { A. = 9600 + 15000 = 24600} \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} \dashrightarrow \; \; \sf { Amount= 24600} \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} {\qquad \; \; {\therefore \; {\underline{\boxed{\orange{\pmb{\frak{ Amount= ₹ \; 24600}}}}}}}} \\ \end{gathered} \end{gathered}$

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

❛❛ Total Amount is ₹ 24,600 . ❜❜

$\begin{gathered} \\ {\underline{\rule{300pt}{9pt}}} \end{gathered}</p><p>$