Question

What percentage of 40 m is 8 m .

A 20%
B 8%
C 50%
D 40%​

Answer 1

Answer:

20 percent

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Answer 2

$\huge\tt{★\:Solution\: :-}$

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$\tt{When\: we\: say\: that\: something\: is}$$\tt{ x\: percent \:of \:y , }$

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$\tt{We\: mean\: that \:it \:is\: y \:༝}$$\tt\frac{x}{100}$. $\tt{So, \:if\: we\: say \:that}$$\tt{ 8 \:is\: x\: percent \:of\: 40 , }$$\tt{that\: means\: that \: :-}$

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$\sf\pink{↦}$$\tt{8\: =\:40\:༝}$$\tt\frac{x}{100}$$\tt{Solving \:for \:x, \:we \:get}$

$\sf\pink{↦}$$\tt{8\: =\:40\:༝}$$\tt\frac{x}{100}$

$\sf\pink{↦}$$\tt{8\: =}$$\frac{40\:x}{100}$

$\sf\pink{↦}$$\tt{8\:༝}$$\tt\frac{100}{40}\:=$$\frac{40\:x}{100}\:༝$$\tt\frac{100}{40}$

$\sf\pink{↦}$$\tt{8\:༝}$$\tt\frac{5}{2}\: =\:x$

$\sf\pink{↦}$$\tt{∴\:x\:=\:20}$

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$\tt\blue{Answer\:⇢}$$\tt\purple{Thus \:8\: is\: 20\: percent \:of\: 40.}$