The following table shows the number of students (Boys and Girls) and the percentage of girls who passed in a 10+2 examination from six different schools (A-F) in the year 2023 and 2024. Based on the data in the table, answer the questions that follow.
School-wise Details of Students Passing in a 10+2 examination
School Year Year 2023 Year 2024 Number of Passed Students Percentage of Passed Girls Number of Passed Students Percentage of Passed Girls A 500 46% 550 44% B 600 42% 640 40% C 650 56% 560 45% D 720 60% 800 48% E 600 54% 840 55% F 650 50% 750 36%
School F Passed Boys Percentage Increase Calculation
The question asks us to find the approximate percentage increase in the number of passed boys in School F between the years 2023 and 2024, based on the provided data.
Analyzing School F Data
First, let's extract the relevant information for School F from the table:
- Year 2023: Total Passed Students = 650, Percentage of Passed Girls = 50%
- Year 2024: Total Passed Students = 750, Percentage of Passed Girls = 36%
Calculating Passed Boys in 2023
To find the number of passed boys in 2023, we first calculate the number of passed girls and subtract it from the total passed students.
- Number of Passed Girls (2023) = 50% of 650
- $ \text{Number of Passed Girls (2023)} = \frac{50}{100} \times 650 = 0.50 \times 650 = 325 $
- Number of Passed Boys (2023) = Total Passed Students (2023) - Number of Passed Girls (2023)
- $ \text{Number of Passed Boys (2023)} = 650 - 325 = 325 $
Calculating Passed Boys in 2024
Similarly, we calculate the number of passed boys for the year 2024.
- Number of Passed Girls (2024) = 36% of 750
- $ \text{Number of Passed Girls (2024)} = \frac{36}{100} \times 750 = 0.36 \times 750 = 270 $
- Number of Passed Boys (2024) = Total Passed Students (2024) - Number of Passed Girls (2024)
- $ \text{Number of Passed Boys (2024)} = 750 - 270 = 480 $
Calculating Percentage Increase in Passed Boys
Now, we calculate the increase in the number of passed boys from 2023 to 2024 and then find the percentage increase relative to the 2023 number.
- Increase in Passed Boys = Number of Passed Boys (2024) - Number of Passed Boys (2023)
- $ \text{Increase in Passed Boys} = 480 - 325 = 155 $
- Percentage Increase = $ \left( \frac{\text{Increase in Passed Boys}}{\text{Number of Passed Boys (2023)}} \right) \times 100 $
- $ \text{Percentage Increase} = \left( \frac{155}{325} \right) \times 100 $
- $ \text{Percentage Increase} \approx 0.476923 \times 100 \approx 47.69\% $
Conclusion on Percentage Increase
The number of boys who passed in School F in the year 2024 is approximately 47.7% more than that in 2023. This matches option 2.
Important Questions from Percentage
Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by;
The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs.) of C is:
The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget.
The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11,050 then population 2 years ago was:
The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is Rs. 28500 less than that of B, then the income (in Rs.) of C is:
