Math, asked by vaibhav1621, 4 months ago

In what time will Rs. 8000 amount to Rs. 8800 at 5% per annum simple interest? *​

Answers

Answered by MasterDhruva
7

Given :-

Principle :- ₹ 8000

Total Amount :- ₹ 8800

Rate of interest :- 5%

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 :-

First, we should find the simple interest by subtracting the amount and principle of the given sum............

Simple Interest :-

{\tt \longrightarrow 8800 - 8000}

{\tt \longrightarrow  \sf Rs \:  \tt \: 800}

Now,

Time :-

{\tt \longrightarrow \dfrac{800 \times 100}{8800 \times 5}}

{\tt \longrightarrow \dfrac{800 \times  \cancel{100}}{ \cancel{8800} \times 5} =  \dfrac{800 \times 1}{88 \times 5} }

{\tt \longrightarrow  \dfrac{ \cancel{800} \times 1}{88 \times  \cancel{5}}  =  \dfrac{16 \times 1}{88 \times 1}}

{\tt \longrightarrow \cancel \dfrac{16}{88}  =   \tt 0.18  \:  \: years =  \boxed{ \tt 1 \dfrac{1}{2} \:  \: years }}

\Huge\thereforeThe time taken in the following sum is 1 ½ 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 bank or any person. The person who gives money is called lender. The person who takes money is called borrower.
  • Principle 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 the percentage format.
  • Time is given for the borrower to return back the given money with the given interest.
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