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%
Ratio Calculation: School A Boys (2023) vs School E Girls (2023)
This question requires us to find the ratio between the number of boys who passed the 10+2 examination from School A in 2023 and the number of girls who passed from School E in the same year. We need to carefully extract the relevant data from the provided table and perform calculations.
Table Data Overview
The table provides details of students passing the 10+2 examination from different schools (A-F) for the years 2023 and 2024. We will focus on the data for the year 2023.
| School | Year 2023 Number of Passed Students | Year 2023 Percentage of Passed Girls | Year 2024 Number of Passed Students | Year 2024 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% |
Step 1: Calculate Boys Passed from School A in 2023
First, we need to find the number of boys who passed from School A in 2023. We know the total number of passed students and the percentage of girls who passed.
- Total passed students from School A in 2023 = 500.
- Percentage of girls who passed from School A in 2023 = 46%.
To find the number of girls who passed:
Number of Girls Passed = $\frac{46}{100} \times 500$
Number of Girls Passed = $46 \times 5 = 230$
Now, we can find the number of boys who passed by subtracting the number of girls passed from the total passed students:
Number of Boys Passed = Total Passed Students - Number of Girls Passed
Number of Boys Passed = $500 - 230 = 270$
So, 270 boys passed from School A in 2023.
Step 2: Calculate Girls Passed from School E in 2023
Next, we need to find the number of girls who passed from School E in 2023.
- Total passed students from School E in 2023 = 600.
- Percentage of girls who passed from School E in 2023 = 54%.
Calculate the number of girls who passed:
Number of Girls Passed = $\frac{54}{100} \times 600$
Number of Girls Passed = $54 \times 6 = 324$
So, 324 girls passed from School E in 2023.
Step 3: Determine the Ratio
We need to find the ratio of the number of boys passed from School A in 2023 to the number of girls passed from School E in 2023.
Ratio = (Number of Boys Passed from School A in 2023) : (Number of Girls Passed from School E in 2023)
Ratio = $270 : 324$
To simplify the ratio, we find the greatest common divisor (GCD) or simplify step-by-step.
Divide both numbers by 2: $135 : 162$
Divide both numbers by 9: $15 : 18$
Divide both numbers by 3: $5 : 6$
The simplified ratio is 5:6.
Final Answer
The ratio of the number of boys who passed from School A in 2023 to the number of girls who passed from School E in the year 2023 is 5:6.
Important Questions from Ratio and Proportion
In a mixture of 156 litres, the ratio of milk and water is 7 : 6. How much water should be added to make the ratio 14 : 13?
If the ratio of the first to second number is 3 : 4 and that of the second to the third number is 8 : 5, and sum of three numbers is 190 then the third number is:
The third proportional to 9 and 15 is:
The average age of 3 persons is 30 years.If their ages are in the ratio of 3 : 5 : 7 respectively, then the age of the eldest person is:
The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:
