Question

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

Answer 1

➤ 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 :-

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

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

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

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

$\Huge\therefore$The 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.