Comprehension

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%

The number of teachers in University B is approximately _______% of the total number of teachers in University D and University E together.

This question was previously asked in
UGC NET Official Paper-I (Held On: 05 Mar, 2023 Shift 2)
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  1. 55
  2. 59
  3. 49
  4. 65

Answer (Detailed Solution Below)

Option 3 : 49
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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50 Questions 100 Marks 60 Mins

Detailed Solution

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Explanation:

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 B = 17%

∴ Number of teachers in university B = (17/100) × 6400 = 1088

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 E = 29%

∴ Number of teachers in university E = (29/100) × 6400 = 1856

Percentage of teachers in university F = 18%

∴ Number of teachers in university F = (18/100) × 6400 = 1152

Number of teachers together in university D and E = 384 + 1856 = 2240

⇒ Percentage of teachers in university B with respect to university D and E together 

⇒ (1088/2240) × 100 = 49%

∴ Percentage of teachers in university B with respect to university D and E together = 49%

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