Question 52

The given bar chart shows the number of students in a class who have secured marks in three ranges: >=75%, 60%-74% and <60%.

What is the ratio of percentages of boys and girls who got marks from 60% to 74%?

Solution

From the bar chart,

Number of boys who got marks from 60% to 74% = 45

Percentage of boys who got marks from 60% to 74% = $$\frac{45}{12+45+8}\times100=\frac{45}{65}\times100=69.23\%$$

Number of girls who got marks from 60% to 74% = 53

Percentage of girls who got marks from 60% to 74% = $$\frac{53}{7+53+5}\times100=\frac{53}{65}\times100=81.53\%$$

$$\therefore\ $$The ratio of percentages of boys and girls who got marks from 60% to 74% = 69.23 : 81.53

Hence, the correct answer is Option C


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