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
- What is the key advantage of using Geographic Information Systems (GIS) in disaster research?
- What will be the total area of land (million ha) of which 12% area is prone to flood and river erosion ?
The total runs scored by four cricketers P, Q, R, and S in years $2009$ and $2010$ are given in the following table:
Player $2009$ $2010$ P $802$ $1008$ Q $765$ $912$ R $429$ $619$ S $501$ $701$
The player with the lowest percentage increase in total runs isStudy the given table and answer the following question:
Annual consumption (in hundred tonnes) of tea in five states (A, B, C, D and E) across 6 years (2014 to 2019):State Year A B C D E 2014 112 130 136 105 117 2015 122 138 150 140 120 2016 124 134 142 144 132 2017 132 154 198 149 133 2018 135 148 187 151 145 2019 153 136 198 150 187 The total consumption of tea in state C in 2015 to 2017 is by what percentage more than the total consumption of tea in states A, B and D in 2015?
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.
Colour Total toys Percentage of cars C1 500 12 C2 600 15 C3 400 12.5 C4 550 10 C5 650 20 C6 450 10 What is the total number of car toys of C2 and C3 taken together?
