Comprehension: The following table shows the proportion of students passed in…
2024
Comprehension: The following table shows the proportion of students passed in three different Graduation Streams, namely, Arts, Science and Commerce, from seven different cities A-G, along with the ratio of Males (M) to Females (F) for the three streams among the students. Based on the data in the table, answer the questions that follow.City-wise details of Graduating students.
If the number of males who passed in Commerce from City-G is 2544, then what is the number of students who passed in Arts from City-G?
- A.
3600
- B.
4200
- C.
4800
- D.
3400
Attempted by 14 students.
Show answer & explanation
Correct answer: A
Given that the number of males who passed in Commerce from City-G is 2544 and the ratio of Males to Females (M:F) in Commerce is 53:47, we can calculate the total number of students who passed in Commerce. The sum of the ratio parts is 53 + 47 = 100.
Since 53 parts represent 2544 males, each part is worth 2544 / 53 = 48. Therefore, the total number of students in Commerce is 100 parts × 48 = 4800.
The proportion of students who passed in Arts, Science, and Commerce from City-G is given as 3:5:4. The total number of parts in this proportion is 3 + 5 + 4 = 12.
Since the number of students in Commerce corresponds to 4 parts, each part is worth 4800 / 4 = 1200.
Therefore, the number of students who passed in Arts is 3 parts × 1200 = 3600.