Question

convert the following ratios into percents 2:5​

Answer 1

Ratio to Percentage

Basic idea:

There's a formula to convert ratio to a percent form. The ratio to percent formula is given below:

$\longrightarrow \bigg[Percentage = Ratio \times 100\bigg]$

To convert the ratio to percent form, we need first identify the ratio. And then we can apply the formula to convert ratio to a percent form to get the value of percentage.

Given ratio is,

$\longrightarrow Ratio = 2:5$

We need to convert the given ratio into a percent form.

Solution:

Applying the formula to convert ratio into percent form and substituting the given value in it, we gwt the following results:

$\implies \bigg[Percentage = \dfrac{2}{5} \times 100\bigg] \; \%$

$\implies \bigg[Percentage = \dfrac{2}{\cancel{5}} \times \cancel{100}\bigg] \; \%$

$\implies \big[Percentage = 2 \times 20\big] \; \%$

$\implies \boxed{\rm{Percentage = 40 \; \%}}$

Hence, the correct answer is 40%.

$\rule{300}{2}$

Conclusion:

We identified the ratio. Then we expressed the ratio a:b in the form of a fraction a/b. Then we multiply the fraction by 100. And finally we simplified and wrote the answer with percent sign (%).

Answer 2

★ Given :-

• Ratio = 2 : 5

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★ To Find :-

• The given ratio in percent = ?

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★ Solution :-

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∓ Here, it is given that, The ratio is 2 : 5 . And, we have to find the Percentage of the ratio .

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• Now, let's solve step by step -----

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$\dashrightarrow\: \sf{Percentage= \frac{2}{5} \times 100} \: \% \\ \\ \dashrightarrow \: \sf{Percentage= \frac{2}{1} \times 20}\: \% \\ \\ \dashrightarrow \: \sf{Percentage=2 \times 20}\: \% \\ \\ \dashrightarrow \: \sf{Percentage=40}\: \%$

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★ Hence :-

• The Percentage Value = 40 %

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