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Question

Two pie charts are given below. There are 6 departments in a office. Pie chart 1 shows the number of males in these 6 departments. Number of males in a particular department is shown as a percentage of total number of males in these 6 departments. Pie chart 2 shows the number of females in these 6 departments. Number of females in a particular department is shown as a percentage of total number of females in these 6 departments.

Difference between the number of males in B and C is 600 and difference between the number of females in D and E is 900. What is the sum of number of females in A, B, F and number of males in D, E, A ?

This question was previously asked in
SSC CGL 2020 (Tier-2) Statistics Previous Year Paper 3 (28-Jan-2022)
The correct answer is

26300

Given:

Males(B% - C%) = 3% = 600    (∵ The value 3% is taken from given pie chart)

Females(D% - E%) = 3% = 900

Solution:

Male(1%) = 600/3 = 200 males

Females(1%) = 900/3 = 300 females

Now, 

Female(A% + B% + F%) + Male(D% + E% + A%)

= Female(10% + 14% + 25%) + Male(20% + 20% + 18%)

= Female(49%) + Male(58%) = (49 x 300) + (58 x 200) = 26300

Hence,  the sum of the number of females in A, B, and F and the number of males in D, E, and A is 26300.

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