Question

Convert the following ratio to percentage.
3:4

Answer 1

- Hint:-In this question first we have to convert the given ratio (3:4) into the fraction form. Then multiply the obtained form of fraction by 100 to get the conversion of the given ratio (3:4) to the percentage form.

Complete step-by-step solution -

A percentage is a fraction with denominator 100 i.e.${\displaystyle \frac{1}{100}}$.
“Percentage” is derived from Latin word “per centum” which means per hundred as we defined in the above definition.
It is denoted by the% symbol.
1 percentage (%) means ${\displaystyle \frac{1}{100}}$=0.01
For conversion a ratio into a percentage first convert it into fraction form by changing “:'' into “/” for example a:b can be written in fraction as a/b. Then, multiply the fraction by 100 and add % symbol to the result.
Given ratio is 3:4
On converting the given ratio into fraction we get
$\Rightarrow 3:4={\displaystyle \frac{3}{4}}$
Now, multiply the obtained fraction by 100, we get
$$\begin{gathered} \Rightarrow \mathrm{\%}\text{ of 3:4 = }\left({\displaystyle \frac{3}{4}}\times 100\right)\mathrm{\%} \\ \Rightarrow \mathrm{\%}\text{ of 3:4 = }\left(3\times 25\right)\mathrm{\%} \\ \Rightarrow \mathrm{\%}\text{ of 3:4 = 75\% } \end{gathered}$$
Hence, the conversion of 3:4 into percentage is 75%.

Note:- Whenever you get this type of question the key concept to solve this is to learn the some conversion rules of percentage like to convert a percentage into fraction or to convert a fraction or ratio into a percentage or to convert a percentage into decimal or to convert a decimal into percentage.