Question

How many years will a sum of 4200 rupay amount to 5082 rupay 7 percent per annum simple interest

Answer 1

➤ Given :-

Principle :- ₹4200

Total amount :- ₹5082

Rate of interest :- 7%

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➤ To Find :-

Time given to return back the amount

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➤ Formula required :-

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

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★ How to do :-

Here, we are given that 4200 rupees amounts to 5082 rupees when there is a 7 percent of rate of interest. So, as we know that for solving this problem we need simple interest, principle and rate of interest, so first we should find the simple interest by subtracting the total amount and the principle. After finding the simple interest, we can find the years taken by using the above formula.

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➤ Solution :-

Simple Interest :-

${\tt \leadsto 5082 - 4200}$

${\tt \leadsto Rs \: \: 882}$

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Now,

Time :-

${\tt \leadsto \dfrac{882 \times 100}{4200 \times 7}}$

${\tt \leadsto \dfrac{882 \times \cancel{100}}{\cancel{4200} \times 7} = \dfrac{882 \times 1}{42 \times 7}}$

${\tt \leadsto \dfrac{\cancel{882} \times 1}{42 \times \cancel{7}} = \dfrac{126 \times 1}{42 \times 1}}$

${\tt \leadsto \cancel \dfrac{126}{42} = \boxed{\tt 3 \: \: years}}$

$\Huge\therefore$ The time taken to return back money is 3 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 :- ${\boxed{\tt\dfrac{SI \times 100}{P \times T}}}$