Question

principle - 20000
rate of interest - 5%
Simple Interest - 200

Find the time taken to give back money also find the total amount ​

Answer 1

➤ Given :-

Principle :- ₹ 20000

Rate of interest :- 5%

Simple Interest :- ₹ 200

➤ To Find :-

Time given and Total amount of the given sum....

➤ Formula required :-

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

➤ Solution :-

Time :-

${\tt \longrightarrow \dfrac{200 \times 100}{20000 \times 5}}$

${\tt \longrightarrow \dfrac{200 \times \cancel{100}}{\cancel{20000} \times 5} = \dfrac{200 \times 1}{200 \times 5}}$

${\tt \longrightarrow \dfrac{ \cancel{200} \times 1}{ \cancel{200} \times 5} = \dfrac{1 \times 1}{1 \times 5}}$

${\tt \longrightarrow \cancel \dfrac{1}{5} = \boxed{ \tt 0.2 \sf \: \: years}}$

Now,

Total amount :-

$\tt \longrightarrow 20000 + 200$

${\tt \longrightarrow \sf Rs \tt \: \: 20200}$

$\Huge\therefore$ The time taken is 0.2 years and the total amount is ₹ 20200.

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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.