Question

princple =7500,amount= 8250 and rate=5% p. a​

Answer 1

➤ Correct Question :-

Find the time when,

Principle = 7500 ; Amount = 8250 ; Rate = 5%

➤ Given :-

Principle :- ₹ 7500

Total amount :- ₹ 8250

Rate of interest :- 5%

➤ To Find :-

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

➤ Formula required :-

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

➤ Solution :-

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

Simple Interest :-

${\tt \longrightarrow 8250 - 7500}$

$\tt \longrightarrow \sf Rs \tt \: \: 1020$

Now,

Time :-

${ \tt \longrightarrow \dfrac{1020 \times 100}{7500 \times 5} }$

$\tt \longrightarrow \dfrac{1020 \times \cancel{100}}{ \cancel{7500} \times 5} = \dfrac{1020 \times 1}{75 \times 5}$

${ \tt \longrightarrow \dfrac{ \cancel{1020} \times 1}{75 \times \cancel{5}} = \dfrac{204 \times 1}{75 \times 1} = \boxed{ \tt\dfrac{204}{75} }}$

${ \tt \longrightarrow \cancel \dfrac{204}{75} = \boxed{ \tt 2.72}}$

$\Huge\therefore$The time taken in the problem is 2.72 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 given when a person borrows money from a bank from a bank or any person. Lender is one who gives money and borrower is one who takes money.
• 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 percentage format.
• Time is given for borrower to return back the given amount with given interest.