Question

choose the correct option .

If rate is 18% per year means, on Rs. 100 the interest in one year is ..


(A) Rs. 8 (B) Rs.108 (C) Rs. 180 (D) Rs.18​

Answer 1

➤ Given :-

Principle :- ₹ 100

Rate of interest :- 18%

Time :- 1 year

➤ To Find :-

Simple Interest of the given sum..............

➤ Formula required :-

${\large \tt \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{P \times R \times T}{100}}}}}$

➤ Solution :-

Simple Interest :-

${\tt \longrightarrow \dfrac{100 \times 18 \times 1}{100}}$

${\tt \longrightarrow \dfrac{ \cancel{100} \times 18 \times 1}{ \cancel{100}} = \boxed{\tt 18 \times 1}}$

${\tt \longrightarrow 18 \times 1 = \boxed{\sf Rs \tt \: \: 18}}$

$\Huge\therefore$The Simple Interest of the given sum is ₹ 18.

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$\dashrightarrow$ Some related formulas :-

Principle :- ${\boxed{\tt\dfrac{SI \times 100}{R \times T}}}$

Rate of interest :- ${\boxed{\tt\dfrac{SI \times 100}{P \times T}}}$

Time :- ${\boxed{\tt\dfrac{SI \times 100}{P \times T}}}$

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More to know..................

• Simple Interest is the extra amount to be given when a person borrows some money from a person or a bank. The person who gives money is called lender. The person who takes money is called borrower.
• Principal is the amount given at first from lender to borrower.
• Rate of interest is the extra amount to be given from borrower to lender. It is always written in percentage format.
• Time is given for the borrower to return back the given money with the given interest.

Answer 2

$\bigstar{ \underline{ \underline{ \bf↬GiVeN↫}}} \bigstar$

• $\small{ \bf Principal,P} \: \large ➛ \small { \underline{\boxed{ \bf ₹ 100}}}$

• $\small{ \bf Rate \: of \: Interest \: ,R} \: \large ➛ \small { \underline{\boxed{ \bf 18\%}}}$

• $\small{ \bf Time,T} \: \large ➛ \small { \underline{\boxed{ \bf 1 \: year}}}$

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$\bigstar{ \underline{ \underline{ \bf↬To \: FiNd↫}}} \bigstar$

• $\small{ \bf Simple \: Interest, \: S.I} \: \large ➛ \small { \underline{\boxed{ \bf ?}}}$

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$\bigstar{ \underline{ \underline{ \bf↬FoRmuLa \: ReQuiReD↫}}} \bigstar$

$\small\bigstar{ \underline{ \boxed{ \bf Simple \: Interest⇝ \frac{P \times R \times T}{100} }}} \bigstar$

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$\\ \small \bf \: We \: know, \\ \\ \small{ \bf \implies Simple \: Interest⇝ \frac{P \times R \times T}{100} }$

$\small{ \bf \implies Simple \: Interest⇝ \frac{ \cancel{100 }\times 18 \times 1}{ \cancel{100} }}$

$\small{ \bf \implies Simple \: Interest⇝ 18 \times 1 }$

$\small{ \bf \implies Simple \: Interest⇝ 18}$

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$\small \bf \: \leadsto \: Hence, \: the \: Simple \: Interest \: is \: 18 \\ \small \bf \therefore The \: correct \: Answer \: is \: ↬ \: \boxed{ \tt (D)} \: \: \sf \underline{ ₹\:18}$

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