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 total number of girls in each academic programme is 90, then what is the total number of girls who have successfully completed the academic programmes from the college?
Answer: C. 351 — ConceptFor any category, the number represented by a percentage equals the base count multiplied by the percentage and divided by 100. When categories share…
- A.
321
- B.
331
- C.
351
- D.
245
Attempted by 1 students.
Show answer & explanation
Correct answer: C
Concept
For any category, the number represented by a percentage equals the base count multiplied by the percentage and divided by 100.
When categories share the same base count, either add their category counts or add the percentages first and multiply by the common base.
Application
The girls’ success percentages for B.A., B.Sc., B.Com., B.B.A., B.C.A. and B.Tech. are 60%, 70%, 60%, 60%, 80% and 60%, respectively.
With 90 girls in each programme, the successful counts are 90 × 60/100 = 54, 90 × 70/100 = 63, 90 × 60/100 = 54, 90 × 60/100 = 54, 90 × 80/100 = 72 and 90 × 60/100 = 54.
Adding the six programme counts gives 54 + 63 + 54 + 54 + 72 + 54 = 351.
Cross-check
The percentages add to 390%. Applying this combined percentage to the common base gives 90 × 390/100 = 351, which confirms the total.
Therefore, 351 girls successfully completed the academic programmes.