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%
Analyzing Girls Performance Improvement Year-on-Year
The question asks us to find the year when the performance of girls showed the maximum improvement compared to the previous year. We need to look at the 'Percentage of Girls who passed' column in the provided table and calculate the year-on-year increase.
Student Performance Data
| 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% |
Calculating Improvement in Girls' Passing Percentage
We will calculate the difference in the percentage of girls passing between consecutive years. An increase in this percentage indicates an improvement in performance.
- 2018 to 2019: The percentage of girls passing increased from 32% to 42%.
Improvement = $\text{42\%} - \text{32\%} = \text{10\%}$ - 2019 to 2020: The percentage of girls passing increased from 42% to 55%.
Improvement = $\text{55\%} - \text{42\%} = \text{13\%}$ - 2020 to 2021: The percentage of girls passing decreased from 55% to 40%.
Change = $\text{40\%} - \text{55\%} = -\text{15\%}$ (This is a decrease, not an improvement) - 2021 to 2022: The percentage of girls passing increased from 40% to 60%.
Improvement = $\text{60\%} - \text{40\%} = \text{20\%}$ - 2022 to 2023: The percentage of girls passing decreased from 60% to 42%.
Change = $\text{42\%} - \text{60\%} = -\text{18\%}$ (This is a decrease, not an improvement)
Identifying Maximum Improvement Year
Comparing the calculated improvements:
- Improvement in 2019: 10%
- Improvement in 2020: 13%
- Improvement in 2022: 20%
The largest increase in the percentage of girls passing occurred between 2021 and 2022, which is a 20% improvement. Therefore, the performance of girls showed maximum improvement in the year 2022 compared to the previous year.
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 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?
The time spent to study history and chemistry is 4 hours 30 minutes. Then the student studied physics for
If the student studied chemistry for 3 hours, then he/she studied geography for
If the student studied 10 hours in a day, then he/she studied mathematics for
