Question

At what rate per cent per annum will ₹3600 amount to ₹4734 in 7/2​

Answer 1

➤ Correct Question :-

At what rate per cent per annum will ₹3600 amount to ₹4734 in 7/2 years

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➤ Given :-

Principle :- ₹3600

Total amount :- ₹4734

Time :- ${\tt \dfrac{7}{2}}$ years

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➤ To Find :-

Rate of interest paid for the given sum

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➤ Formula required :-

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

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★ How to do :-

Here, we are given with principle, total amount and time. We should find the rate of interest of this sum. The given formula can be used to find the rate of interest. But, we are not provided with simple interest so we should find the simple interest, because to find rate of interest the simple interest is necessary. We can find the simple interest by subtracting the total amount and the principle, then we can find the rate of interest.

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➤ Solution :-

Simple Interest :-

${\tt \leadsto 4734 - 3600}$

${\tt \leadsto Rs \: \: 1134}$

Now,

Rate of interest :-

${\tt \leadsto \dfrac{1134 \times 100}{3600 \times 3.5}}$

${\tt \leadsto \dfrac{1134 \times \cancel{100}}{\cancel{3600} \times 3.5} = \dfrac{1134 \times 1}{36 \times 3.5}}$

${\tt \leadsto \dfrac{ \cancel{1134} \times 1}{36 \times \cancel{3.5}} = \dfrac{324 \times 1}{36 \times 1}}$

${\tt \leadsto \cancel \dfrac{324}{36} = \boxed{ \tt 9 \bf\%}}$

$\Huge\therefore$ The rate of interest of the given sum is 9%.

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$\dashrightarrow$ Some related formulas :-

${\sf \to \boxed{\sf Simple \: Interest = \dfrac{P \times R \times T}{100}}}$

${\sf \to \boxed{\sf Principle = \dfrac{SI \times 100}{R \times T}}}$

${\sf \to \boxed{\sf Time = \dfrac{SI \times 100}{P \times R}}}$