The following table shows the percentage (%) of colleges offering the four IT…
2022
The following table shows the percentage (%) of colleges offering the four IT courses on Python, Java, Multimedia and AI in four Indian States A-D, in a certain year. The table also presents the percentage-wise distribution of the number of Colleges in the four states. The total number of Colleges in the four states is 4000. Based on the data in the table, answer the question that follows.
State-wise Percentage of Colleges offering IT Courses
State | % of Colleges offering Python | % of Colleges offering Java | % of Colleges offering Multimedia | % of Colleges offering AI | % Distribution of Number of Colleges |
|---|---|---|---|---|---|
A | 86% | 74% | 59% | 56% | 35% |
B | 80% | 92% | 82% | 84% | 15% |
C | 74% | 88% | 84% | 86% | 20% |
D | 68% | 64% | 68% | 70% | 30% |
Number of Colleges offering Java in State B is ______% of the number of Colleges offering AI in State C.
Answer: B. 80.23 — ConceptTo compare one quantity with another as a percentage, divide the first quantity by the second quantity and multiply by 100. When a table gives nested…
- A.
78.15
- B.
80.23
- C.
82.25
- D.
84.52
Attempted by 1 students.
Show answer & explanation
Correct answer: B
Concept
To compare one quantity with another as a percentage, divide the first quantity by the second quantity and multiply by 100.
When a table gives nested percentages, first convert each relevant percentage into an actual count using the stated total.
Application
State B has 15% of 4000 colleges, so the number of colleges in State B is 4000 × 15/100 = 600.
Of these, 92% offer Java, so the number offering Java in State B is 600 × 92/100 = 552.
State C has 20% of 4000 colleges, so the number of colleges in State C is 4000 × 20/100 = 800.
Of these, 86% offer AI, so the number offering AI in State C is 800 × 86/100 = 688.
Required percentage = (552 ÷ 688) × 100 = 80.2325…%, which rounds to 80.23%.
Cross-check
Using the aggregate factors directly gives (15 × 92)/(20 × 86) × 100 = 80.2325…%, confirming the same result.
Result
Therefore, the required percentage is 80.23%.