Question

The rate of at which ₹ 17500 at simple interest becomes ₹ 19250 in 2 years is ​

Answer 1

Answer:

5%

Step-by-step explanation:

Principal=17500

Amount=19250

Time=2 yr

Simple Interest=A-P=19250-17500=1750

so Simple Interest=1750

Rate=?

Rate=SI×100/P×T

1750×100/17500×2

=5

Rate=5%

Answer 2

Answer:

$\begin{gathered}{\underline{\underline{\maltese{\large{\textsf{\textbf{\green{ Given:}}}}}}}}\end{gathered}$

• ★ Principle = Rs.17500
• ★ Time = 2 years
• ★ Simple Interest = Rs.19250

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

$\begin{gathered}{\underline{\underline{\maltese{\large{\textsf{\textbf{\green{ To Find:}}}}}}}}\end{gathered}$

• ★ Rate of Interest

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

$\begin{gathered}{\underline{\underline{\maltese{\large{\textsf{\textbf{\green{ Using Formulas:}}}}}}}}\end{gathered}$

$\quad\dag{\underline{\boxed{\sf{S.I = Amount - Principle }}}}$

$\quad\dag{\underline{\boxed{\sf{Rate = \dfrac{S.I \times 100}{P \times T}}}}}$

Where

• ⇒ S.I = Simple Interest
• ⇒ P = Principle
• ⇒ R = Rate of Interest
• ⇒ T = Time

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

$\begin{gathered}{\underline{\underline{\maltese{\large{\textsf{\textbf{\green{ Solution:}}}}}}}}\end{gathered}$

$\dag\underline{\underline{\mathfrak{\blue{Firstly \: finding \: the \: simple \: Interest \: by \: using \: formula }}}}$

$\quad{: \implies{\sf{S.I = Amount - Principle }}}$

$\quad{: \implies{\sf{S.I = 19250 - 17500}}}$

$\quad{: \implies{\sf{S.I =1750}}}$

${\quad{\dag{\underline{\boxed{\sf{\red{Simple \: Interest =1750}}}}}}}$

• ➤ Hence, The Simple Interest is Rs.1750.

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

$\dag\underline{\underline{\mathfrak{\blue{Finding \: the \: rate \: of \: interest \: by \: using \: S.I \: formula }}}}$

$\quad{ : \implies{\sf{Rate = \dfrac{S.I \times 100}{P \times T}}}}$

• Substituting the values

$\quad{ : \implies{\sf{Rate = \dfrac{1750 \times 100}{17500 \times 2}}}}$

$\quad{ : \implies{\sf{Rate = \dfrac{175000}{35000}}}}$

$\quad{ : \implies{\sf{Rate = {\cancel\dfrac{175000}{35000}}}}}$

$\quad{ : \implies{\sf{Rate ={5 \%}}}}$

$\quad\dag{\underline{\boxed{\sf{\red{Rate ={5 \%}}}}}}$

• ➤ Henceforth,The Rate of Interest is 5%

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

$\begin{gathered}{\underline{\underline{\maltese{\large{\textsf{\textbf{\green{ Learn More:}}}}}}}}\end{gathered}$

$\quad\circ{\underline{\boxed{\sf{\red{A ={P{\bigg(1 + \dfrac{R}{100}{\bigg)}^{T}}}}}}}}$

$\quad\circ{\underline{\boxed{\sf{\red{Amount = Principle + Interest}}}}}$

$\quad\circ{\underline{\boxed{\sf{\red{ P=Amount - Interest }}}}}$

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

$\quad\circ{\underline{\boxed{\sf{\red{P = \dfrac{Amount\times 100 }{100 + (Time \times Rate)}}}}}}$

$\quad\circ{\underline{\boxed{\sf{\red{P = \dfrac{Interest \times 100 }{Time \times Rate}}}}}}$