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
- A box containing the denominations of one rupee coins, five rupee coins and ten rupee coins amount to Rs.4320. There are equal number of
coins in all denominations. What is the total number of coins in the box? - The sum of three terms is 14380. The ratio between first term and second term is 14:15 and the ratio between second term and the third term is 16:17. Find the difference between first and last term.
- A box containing the denominations of fifty paise coins, two rupee coins and five rupee coins amount to Rs. 1275. There are equal number of coins in all denominations. What is the value of two rupee coins in the box? (In Rs.)
- Three numbers are in the ratio 19:21:23. If the difference between thrice the third number and the sum of first and second number is 841. Find the difference between the first and third number?
- The ratio between the number of males and females in a college is 27:28. If the number of males are increased by 20% and the number of females are increased by 30%, then what will the new ratio of males and females in the college?
