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
Year Percentage of Girls who passed Percentage of Boys who failed 2018 32% 40% 2019 42% 60% 2020 55% 25% 2021 40% 30% 2022 60% 50% 2023 42% 80%
Understanding the 2023 Exam Data
The question asks us to compare the number of boys who failed with the number of girls who failed in the year 2023. We need to find out by what approximate percentage the number of boys who failed is more than the number of girls who failed.
Here's the relevant data for the year 2023:
- Total number of boys appeared in the exam = 1250
- Total number of girls appeared in the exam = 850
- Percentage of girls who passed = 42%
- Percentage of boys who failed = 80%
Calculating Number of Boys Failed
First, let's calculate the actual number of boys who failed in 2023.
We know that 80% of the total boys who appeared failed.
- Number of boys failed = Percentage of boys who failed $\times$ Total boys appeared
- Number of boys failed = $80\% \times 1250$
- Number of boys failed = $\frac{80}{100} \times 1250$
- Number of boys failed = $0.80 \times 1250$
- Number of boys failed = 1000
So, 1000 boys failed in the exam in 2023.
Calculating Number of Girls Failed
Next, we need to find the number of girls who failed. We are given the percentage of girls who passed.
- Percentage of girls who passed = 42%
- This means the percentage of girls who failed = $100\% - 42\% = 58\%$
Now, we calculate the actual number of girls who failed:
- Number of girls failed = Percentage of girls who failed $\times$ Total girls appeared
- Number of girls failed = $58\% \times 850$
- Number of girls failed = $\frac{58}{100} \times 850$
- Number of girls failed = $0.58 \times 850$
- Number of girls failed = 493
So, 493 girls failed in the exam in 2023.
Comparing Boys Failed vs. Girls Failed
We need to find out how much more the number of boys who failed is compared to the number of girls who failed, as a percentage.
Let's find the difference:
- Difference = Number of boys failed - Number of girls failed
- Difference = $1000 - 493$
- Difference = 507
Now, we calculate the percentage increase relative to the number of girls who failed:
- Percentage increase = $\left( \frac{\text{Number of boys failed} - \text{Number of girls failed}}{\text{Number of girls failed}} \right) \times 100$
- Percentage increase = $\left( \frac{507}{493} \right) \times 100$
- Percentage increase $\approx 1.0283975 \times 100$
- Percentage increase $\approx 102.84\%$
Therefore, the number of boys who failed is approximately 102.84% more than the number of girls who failed in the exam.
Important Questions from Data Interpretation
The table shows the monthly expenditure of Saumya. What percent of her monthly salary is she able to save?
Expense Amount Food 5,000 Rent 20,000 Travel 10,000 Clothing 3,000 Miscellaneous 15,000 Savings 7,500 Who had the best score on either test?
Who had the most consistent scores on both tests?
Who had the least consistent scores on both tests?
Who had the poorest score on either test?
