Question

all qestion are copulsory
Convert each part of the ratio to percentage.
(a) 3:1
(b) 1:4​

Answer 1

★ How to do :-

Here, we are given with two ratios in which we are given with two values. We are asked to find the percentage value of these ratios. At, first we should find the total value of this ratio by adding both values of this ratio. Then, we should find the value of each part of the ratio by the formula i.e, to be applied to calculate the percentage. The same method is to be done for the second question. The final answer should be written with the ratio symbol and write the percentage values. So, let's solve!!

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➤ Solution (1) :-

Total value :-

${\tt \leadsto 3 + 1 = 4}$

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Now,find the percentage value of each part of the ratio.

Percentage of 1 :-

${\tt \leadsto \dfrac{1}{4} \times 100}$

Write the denominator and the whole number in lowest form by cancellation method.

${\tt \leadsto \dfrac{1}{\cancel{4}} \times \cancel{100} = \dfrac{1}{1} \times 25}$

Now, multiply the remaining numbers.

${\tt \leadsto \dfrac{1 \times 25}{1} = 25 \bf\%}$

Now, find the percentage of second part of the ratio.

Percentage of 2 :-

${\tt \leadsto \dfrac{3}{4} \times 100}$

Write the denominator and the whole number in lowest form by cancellation method.

${\tt \leadsto \dfrac{3}{\cancel{4}} \times \cancel{100} = \dfrac{3}{1} \times 25}$

Now, multiply the remaining numbers.

${\tt \leadsto \dfrac{3 \times 25}{1} = 75 \bf\%}$

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The final answer is :-

${\tt \leadsto \pink{\underline{\boxed{\tt 25 \bf\% \tt \: : 75 \bf\%}}}}$

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➤ Solution (2) :-

Total value :-

${\tt \leadsto 1 + 4 = 5}$

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Now,find the percentage value of each part of the ratio.

Percentage of 1 :-

${\tt \leadsto \dfrac{1}{5} \times 100}$

Write the denominator and the whole number in lowest form by cancellation method.

${\tt \leadsto \dfrac{1}{\cancel{5}} \times \cancel{100} = \dfrac{1}{1} \times 20}$

Now, multiply the remaining numbers.

${\tt \leadsto \dfrac{1 \times 20}{1} = 20 \bf\%}$

Now, find the percentage of second part of the ratio.

Percentage of 4 :-

${\tt \leadsto \dfrac{4}{5} \times 100}$

Write the denominator and the whole number in lowest form by cancellation method.

${\tt \leadsto \dfrac{4}{\cancel{5}} \times \cancel{100} = \dfrac{4}{1} \times 20}$

Now, multiply the remaining numbers.

${\tt \leadsto \dfrac{4 \times 20}{1} = 80 \bf\%}$

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The final answer is :-

${\tt \leadsto \pink{\underline{\boxed{\tt 20 \bf\% \tt \: : 80 \bf\%}}}}$

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Hence solved !!