Directions: Study the following pie chart carefully and answer the questions.

The pie chart given below shows the percentage distribution of the total number of male faculties in six different schools.

Total male faculties in all schools together = 8400

If the total number of faculties in school F is 1820. Then female faculties in school F are what percentage more/less than total male faculties in school B?

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  1. 75%
  2. 66.66%
  3. 81.66%
  4. 89%

Answer (Detailed Solution Below)

Option 3 : 81.66%
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Detailed Solution

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Given:

Total faculties in school F = 1820

Calculation:

It's given that the total number of faculties (Male and Female) in school F is 1820 

Female faculties = Total faculties - Male faculties 

But according to the chart male percentage in school F = 18%

Total faculties in school F = 1820

Total male faculties in school F = 8400 × 18/100 = 1512

Female faculties in school F = 1820 - 1512 = 308

Male faculties in school B = 8400 × 20/100 = 1680

∴ Required percentage = (1680 - 308)/1680 × 100

⇒ 1372/1680 × 100 = 81.66%.

∴ Female faculties in school F are 81.66% less than male faculties in school B.

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