Question

What are the percentages of vowels in the English alphabet?

Answer 1

Hint: To solve this question, we should know a little about the English alphabets. There are a total 26 English alphabets. It is made up of vowels and consonants. There are 5 vowels, which are, a, e, i, o and u. The rest of the 21 alphabets are known as the consonants. Now, we have to calculate the percentages by using the formula \[{\text{percentage}}\left( \% \right){\text{ = }}\dfrac{{{\text{Actual}}{\mkern 1mu} {\text{Value}}}}{{{\text{True}}{\mkern 1mu} {\mkern 1mu} {\text{Value}}}} \times 100\]. By substituting this we get the value of percentage.

Complete step by step solution:
In the question, we were asked to calculate the percentages of vowels in the English alphabet.
We now know that vowels and consonants exist in the English alphabet. We know that the English alphabet has five vowels, which are a, e, i, o, and u.
Only the number of vowels was taken into account while computing the percentages.
Therefore, percentage of formula is given by
\[{\text{percentage}}\left( \% \right){\text{ = }}\dfrac{{{\text{Actual}}{\mkern 1mu} {\text{Value}}}}{{{\text{True}}{\mkern 1mu} {\mkern 1mu} {\text{Value}}}} \times 100\]
Here, Actual value means number of Vowels in English alphabets that is (a, e, i, o, u).
Number of vowels in English alphabet \[ = 5\]
As we know total number of letters in English alphabet \[ = 26\]
 \[\therefore \] Total Values becomes 26
Now substitute these values in percentage formula, we get
\[{\text{percentage}}\left( \% \right){\text{ = }}\dfrac{{\text{5}}}{{{\text{26}}}} \times 100\]
By simplification we get:
\[{\text{percentage}}\left( \% \right){\text{ = }}\dfrac{{{\text{500}}}}{{{\text{26}}}}\]
\[\therefore {\text{percentage}}\left( \% \right){\mkern 1mu} {\text{ of Vowels in English Alphabets = }}19.23\% \].

Note: Possible mistake that can be made while doing this question. Because when you are calculating the percentage then you have to multiply by 100 and when the percentage is given and asked to find the actual value then you have to divide by 100. So, if the student is not clear about the percentages that are when to divide and when to multiply by 100 then students can end up with wrong answers.