Math, asked by sanchirajput434343, 4 months ago

plz tell the answer of this question ​

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Answers

Answered by MasterDhruva
3

Given :-

Principle :- ₹6400

Total amount :- ₹9800

Time :- 4 years

To Find :-

Rate of interest for the given sum

Formula required :-

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

How to do :-

Here, we are given with principle, total amount and time. We should find the rate of interest. So, first we should find the simple interest by subtracting the total amount and the principle, because to find tye rate of interest the simple interest should be there. Later, we can find the rate of interest by using the given formula.

Solution :-

Simple Interest :-

{\tt \leadsto 9800 - 6400}

{\tt \leadsto Rs \: \: 3400}

Now,

Rate of interest :-

{\tt \leadsto \dfrac{3400 \times 100}{6400 \times 4}}

{\tt \leadsto \dfrac{3400 \times \cancel{100}}{ \cancel{6400 }\times 4} = \dfrac{3400 \times 1}{64 \times 4}}

{\tt \leadsto \dfrac{\cancel{3400} \times 1}{64 \times \cancel{4}} = \dfrac{850 \times 1}{64 \times 1}}

{\tt \leadsto \cancel \dfrac{850}{64} = \boxed{\tt 13.28 \bf\%}}

\Huge\therefore The rate of interest of the given sum is 13.28%.

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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}}}

Time :- {\boxed{\tt\dfrac{SI \times 100}{P \times R}}}

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