Question
Download Solution PDFComprehension
The following table shows the percentage (%) distribution of teachers in six different universities A-F. Total number of teachers in university E is 1856. Based on the data in the table, answer the questions.
University-wise Distribution of Teachers
| University | Distribution (%) of Teachers |
| A | 11% |
| B | 17% |
| C | 19% |
| D | 6% |
| E | 29% |
| F | 18% |
What is the average number of teachers in Universities A, C, D and F together?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Let total no. of teachers = X
Total Teacher in E university = 29% of X
1856 = 29/100 × X
X = 6400
So, Total number of teachers = 6400
Total number of teachers = 6400
Percentage of teachers in university A = 11%
∴ Number of teachers in university A = (11/100) × 6400 = 704
Percentage of teachers in university C = 19%
∴ Number of teachers in university C = (19/100) × 6400 = 1216
Percentage of teachers in university D = 6%
∴ Number of teachers in university D = (6/100) × 6400 = 384
Percentage of teachers in university F = 18%
∴ Number of teachers in university F = (18/100) × 6400 = 1152
∴ Total number of teachers in university A, C, D and F = 704 + 1216 + 384 + 1152 = 3456
⇒ Average number of teachers per university = 3456/4 = 864
∴ Average number of teachers = 864
Last updated on Jul 17, 2025
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