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Question

The following table shows the percentage (%) of girls who passed in an examination and the percentage (%) of boys who failed in that exam in a school during the six years from 2018 to 2023. Based on the data in the table, answer the questions that follow.

Year-wise Result details of Students
 

YearPercentage of Girls who passedPercentage of Boys who failed
201832%40%
201942%60%
202055%25%
202140%30%
202260%50%
202342%80%

If in the year 2018, the total number of boys who appeared in the exam is 600, then what is the percentage difference between the percentage of boys who passed and the percentage of girls who passed in the exam?

The correct answer is
28%

Analyze Year 2018 Exam Results

We are given the performance data for the year 2018. The question asks for the percentage difference between the percentage of boys who passed and the percentage of girls who passed.

Percentage of Girls Who Passed in 2018

From the provided table, the percentage of girls who passed the examination in the year 2018 is directly given as 32%.

Percentage of Boys Who Failed in 2018

The table shows that the percentage of boys who failed the examination in 2018 is 40%.

Calculate Percentage of Boys Who Passed in 2018

To find the percentage of boys who passed, we subtract the percentage of boys who failed from the total percentage (100%).

Using LaTeX for the calculation:

Percentage of Boys Passed = $100\% - \text{Percentage of Boys Failed}$

Percentage of Boys Passed = $100\% - 40\% = 60\%$

So, 60% of the boys passed the examination in 2018.

Calculate Percentage Difference

The question asks for the percentage difference between the percentage of boys who passed and the percentage of girls who passed in 2018.

The percentage difference is the absolute difference between these two values.

Using LaTeX for the calculation:

Percentage Difference = $|\text{Percentage of Boys Passed} - \text{Percentage of Girls Passed}| $

Percentage Difference = $|60\% - 32\%| $

Percentage Difference = $28\% $

Final Result

The percentage difference between the percentage of boys who passed and the percentage of girls who passed in the year 2018 is 28%.

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