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 females who passed in Arts from City-C is 768, then the number of males who passed in Commerce from City-C is approximately ____ % of the number of students who passed from City-C.
- A.
14.76
- B.
18.24
- C.
27.8
- D.
32.5
Attempted by 15 students.
Show answer & explanation
Correct answer: A
Let the total number of students passed in City C be 7x. According to the ratio Arts:Science:Commerce = 1:4:2, the number of students in Arts is x.
From the table, for City C, the ratio of Males to Females in Arts is 34:16. Number of females in Arts = (16/50) * x = 768.
Solving for x gives x = (768 * 50) / 16 = 2400. Total students passed in City C = 7x = 7 * 2400 = 16800.
Number of students in Commerce = 2x = 2 * 2400 = 4800.
From the table, for City C, the ratio of Males to Females in Commerce is 31:29.
Number of males in Commerce = (31/60) * 4800 = 2480.
Required percentage = (2480 / 16800) * 100 ≈ 14.76%.