
Out of 50 students in class, 28 are boys. What is the percentage of girls?
Answer
553.8k+ views
Hint: In general we have the percentage formula is \[{\text{Percentage}} = \dfrac{{{\text{value}}}}{{{\text{total value}}}} \times 100\] . In this problem first we need to find the total number of girls. Which is the ‘value’ compared to the formula. Total number of students is ‘total value’ compared to the formula. By substituting these in the formula we get the required percentage.
Complete step-by-step answer:
Given,
Total number of students in a class = 50.
Total number of boys in a class = 28.
Then, total number of girls in a class = total number of students – total number of boys.
\[ \Rightarrow 50 - 28\]
\[ \Rightarrow 22\]
That is, there are 22 girls in a class.
Now to find the percentage of girls in a class. We know the formula,
\[ \Rightarrow {\text{Percentage of girls}} = \dfrac{{{\text{number of girls}}}}{{{\text{total students}}}} \times 100\]
Substituting we get,
\[ \Rightarrow \dfrac{{22}}{{50}} \times 100\]
\[ \Rightarrow 22 \times 2\]
\[ \Rightarrow 44\% \]
We represent the percentage by \[\% \] .
Thus the percentage of girls in boys is \[44\] .
So, the correct answer is “$44\%$”.
Note: The percentage is a relative value that indicates hundredth parts of any quantity. One percent represent the one hundredth, two hundredth represent two hundredths and so on. In the given problem if we add the percentage of both boys and girls we will get a hundred percent. Remember the percentage increase formula and percentage decrease formula. Careful in the calculation part.
Complete step-by-step answer:
Given,
Total number of students in a class = 50.
Total number of boys in a class = 28.
Then, total number of girls in a class = total number of students – total number of boys.
\[ \Rightarrow 50 - 28\]
\[ \Rightarrow 22\]
That is, there are 22 girls in a class.
Now to find the percentage of girls in a class. We know the formula,
\[ \Rightarrow {\text{Percentage of girls}} = \dfrac{{{\text{number of girls}}}}{{{\text{total students}}}} \times 100\]
Substituting we get,
\[ \Rightarrow \dfrac{{22}}{{50}} \times 100\]
\[ \Rightarrow 22 \times 2\]
\[ \Rightarrow 44\% \]
We represent the percentage by \[\% \] .
Thus the percentage of girls in boys is \[44\] .
So, the correct answer is “$44\%$”.
Note: The percentage is a relative value that indicates hundredth parts of any quantity. One percent represent the one hundredth, two hundredth represent two hundredths and so on. In the given problem if we add the percentage of both boys and girls we will get a hundred percent. Remember the percentage increase formula and percentage decrease formula. Careful in the calculation part.
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