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
The cost of a diamond is directly proportional to the square of its weight. The cost of a 14 gm diamond is Rs. 2560. This diamond got broken down into two pieces in the ratio of 5 ∶ 9. How much loss percent is incurred due to this breakage ? (Correct to two decimal places)
Atul purchased Bread costing Rs.20 and gave a 100 rupee note to the shopkeeper. The shopkeeper gave the balance money in coins of denomination Rs.2, Rs.5 and Rs.10. If these coins are in the ratio 5 ∶ 4 ∶ 1, then how many Rs.5 coins did the shopkeeper give?
A person divides a certain amount among his three sons in the ratio of 3 ∶ 4 ∶ 5. If he had divided this amount in the ratio of 1/3,1/4,1/5, his son, who had got the lowest share earlier, would get Rs.1,188 more. Find the amount (in Rs).
In a school 3/8 of the number of students are girls and the rest are boys. One-third of the number of boys are below 10 years and 2/3 the number if girls are also below 10 years. If the number of students of age 10 or more years is 260. then the number of boys in the school is:
If a : b : c = \(\frac{1}{4} : \frac{1}{3} : \frac{1}{2}, \) then \( \ \frac{a}{b} : \frac{b}{c} : \frac{c}{a} = ?\)
