Question

2. Find the time when :
(1) simple interest on 2500 at 4% per annum is 200
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Answer 1

➤ Given :-

Principle :- ₹ 2500

Rate of interest :- 4%

Simple Interest :- ₹ 200

➤ To Find :-

Time given for the given sum................

➤ Formula required :-

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

➤ Solution :-

Time :-

${\tt \longrightarrow \dfrac{200 \times 100}{2500 \times 4}}$

${\tt \longrightarrow \dfrac{200 \times \cancel{100}}{\cancel{2500} \times 4} = \dfrac{200 \times 1}{25 \times 4}}$

${\tt \longrightarrow \dfrac{200}{25 \times 4} = \dfrac{200}{100}}$

${\tt \longrightarrow \cancel \dfrac{200}{100} = \boxed{\tt 2 \sf \: \: years}}$

$\Huge\therefore$ The time taken in the following sum is 2 years.

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$\dashrightarrow$ Some related formulas :-

Simple Interest :- ${\boxed{\tt\dfrac{P \times R \times T}{100}}}$

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

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

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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.