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
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What is the ratio of total earnings of P to the total earnings of Q?Earnings Days P Q Monday 105 150 Tuesday 96 110 Wednesday 65 122 Thursday 115 106 Friday 130 68 The table below shows the number of toys of 6 different colours sold from a shop during a given period. The table also shows the percentage of toys of each colour which are cars.
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Study the given graph carefully and answer the question that follows. The graph shows the demand and production of different companies.
The ratio between the companies having more production than demand and more demand than production is:
Study the given table and answer the question that follows. The given table shows the number of new employees added to different categories of employees in a company for four years and the number of employees from these categories who left the company every year.
During the period between 2001 and 2004, the total number of Technicians who left the Company is what percentage (rounded off to the nearest integer) of the total number of Technicians who joined the Company?
The given pie-chart shows the percentage distribution of 20,000 employees in a company. Study the given chart and answer the question that follows. If 30% of the employees in department D are females, then how many male employees are there in that department?
