Question

please answer this right its so important ​

Answer 1

$\large\sf\underline{Given\::}$

• Simple Interest = Rs 40

• Rate = 5 %

• Time = 1 year

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$\large\sf\underline{To\:find\::}$

• Sum of money Tanvi borrowed or Principal

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$\large\sf\underline{Understanding\:the\:question\::}$

Here in the question we are given Simple interest as Rs 40 and Rate as 5% . We are asked to find Sum of money Tanvi borrowed or principal . So we can easily solve this problem by using formula for Principal . Let's proceed !

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$\large\sf\underline{Solution\::}$

We need to calculate Principal and we do know that :

✮ $\large{\mathfrak\red{\:Principal\:=\:\frac{SI \times 100}{R \times T}}}$

where :

• SI = Simple Interest

• ‎ R = Rate

• T = Time

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Now substituiting the given values in the formula :

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$\sf\dashrightarrow\:Principal\:=\:\frac{40 \times 100}{5 \times 1}$

$\sf\dashrightarrow\:Principal\:=\:\cancel{\frac{4000}{5}}$

$\small{\underline{\boxed{\mathrm\pink{\dashrightarrow\:Principal\:=\:Rs\:800}}}}$ ★

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$\large\sf\underline{Verifying\::}$

According to question SI is Rs 40 .

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We got Principal as Rs 800 .

So let's see how much is the Simple Interest at Rs 800 for one year and rate 5% .

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✮ $\large{\mathfrak\purple{SI\:=\:\frac{P \times R \times T}{100}}}$

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• Let's substitute the values :

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$\sf\longmapsto\:SI\:=\:\frac{800 × 5 × 1}{100}$

$\sf\longmapsto\:SI\:=\:\frac{40\cancel{00}}{1\cancel{00}}$

$\small\fbox\orange{⟼\:SI\:=\:Rs\:40}$ ★

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Hence we got SI as Rs 40 so our answer is correct. That is Tanvi had burrowed ${\sf{{\pink{Rs\:800}}}}$ .

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$\tt\blue{Some\:More\:Formula\::}$

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• $\sf\:Rate\:=\:\frac{Simple\:Interest \times 100}{Principal\:Time}$

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• $\sf\:Time\:=\:\frac{Simple\:Interest \times 100}{Principal\:Rate}$

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• Amount = $\sf\:SI + P$

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!! Hope it helps !!