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 What does the height of the rectangle in a histogram show?
Following table provides figures (in rupees) on annual expenditure of a firm for two years – 2010 and 2011.
Category
2010
2011
Raw material
5200
6240
Power & fuel
7000
9450
Salary & wages
9000
12600
Plant & machinery
20000
25000
Advertising
15000
19500
Research & Development
22000
26400
In 2011, which of the following two categories have registered increase by same percentage?
Read the following table giving sales data of five types of batteries for years 2006 to 2012
Year
Type I
Type II
Type III
Type IV
Type V
2006
75
144
114
102
108
2007
90
126
102
84
126
2008
96
114
75
105
135
2009
105
90
150
90
75
2010
90
75
135
75
90
2011
105
60
165
45
120
2012
115
85
160
100
145
Out of the following which type of battery achieved highest growth between the years 2006 and 2012?Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A × B × C), (B × G × E) and (D × E × F) are equal. Which integer among the following choices cannot be represented by the letters A, B, C, D, E, F and G?
A
D
B
G
E
C
F
