Question

on what sum of money the interest amount to ₹75 and 3years at rate of 5% per annum​

Answer 1

➤ Given :-

Simple Interest :- ₹ 75

Time :- 3 years

Rate of interest :- 5%

➤ To Find :-

Principle amount of the given sum...........

➤ Formula required :-

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

➤ Solution :-

Principle :-

${\tt \longrightarrow \dfrac{75 \times 100}{5 \times 3}}$

${\tt \longrightarrow \dfrac{ \cancel{75} \times 100}{ \cancel{5} \times 3} = \dfrac{15 \times 100}{1 \times 3}}$

${\tt \longrightarrow \dfrac{ \cancel{15} \times 100}{1 \times \cancel{3}} = \dfrac{5 \times 100}{1 \times 1}}$

${\tt \longrightarrow 5 \times 100 = \boxed{ \tt Rs \: \: 500}}$

$\Huge\therefore$ The principle amount of the given sum is ₹ 500.

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$\dashrightarrow$ Some related formulas :-

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

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

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

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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.