The following table shows the percentage of students (Boys and Girls) who have…
2022
The following table shows the percentage of students (Boys and Girls) who have successfully completed their respective academic programmes, namely, B.A., B.Sc., B.Com., B.B.A., B.C.A. and B.Tech. in a college. Based on the data in the table, answer the questions 1-5:
Programme-wise Percentage of Successful Students
Programme | Boys | Girls |
|---|---|---|
B.A. | 80% | 60% |
B.Sc. | 80% | 70% |
B.Com. | 40% | 60% |
B.B.A. | 90% | 60% |
B.C.A. | 70% | 80% |
B.Tech. | 70% | 60% |
If the number of boys and girls successfully completing the B.A. programme are same, then what is the ratio between the number of boys to the number of girls in B.A. programme?
Answer: D. 3 : 4 — ConceptWhen the same quantity is expressed as different percentages of two totals, equate the two percentage amounts. If p% of B equals q% of G, then pB = qG,…
- A.
4 : 3
- B.
5 : 3
- C.
4 : 9
- D.
3 : 4
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Show answer & explanation
Correct answer: D
Concept
When the same quantity is expressed as different percentages of two totals, equate the two percentage amounts. If p% of B equals q% of G, then pB = qG, so B : G = q : p.
Application
Let B and G be the total numbers of boys and girls enrolled in the B.A. programme.
The successful counts are 80% of B and 60% of G, that is, 0.80B and 0.60G.
The successful counts are equal, so 0.80B = 0.60G.
Dividing by 0.20 gives 4B = 3G; hence B/G = 3/4 and B : G = 3 : 4.
Cross-check
For example, take B = 300 and G = 400. Then 80% of 300 and 60% of 400 are both 240, confirming the ratio 3 : 4.