The pie chart (i ) given below shows percentage distribution of total people (male + female) visited five different clubs and pie chart (ii) shows percentage distribution of total male visited in these five clubs. Read the data carefully and answer the questions given below.
The average number of females visited clubs B, E and X is 126. If total males visited club X are 45% of total males visited club A, then find the difference between total number of people visited club X and total females visited clubs A and C together.
Correct Answer :
208
208
Solution :
Given:
Step 1: Find females in Clubs B and E
Club B:
Total people = 16% of 2500 = 400
Males = 15% of 1200 = 180
Females = 400 − 180 = 220
Club E:
Total people = 12% of 2500 = 300
Males = 18% of 1200 = 216
Females = 300 − 216 = 84
Step 2: Find females in Club X
Average females in B, E and X = 126
(220 + 84 + Females in X) ÷ 3 = 126
Females in X = 378 − 304 = 74
Step 3: Find total people in Club X
Males in Club A = 20% of 1200 = 240
Males in Club X = 45% of 240 = 108
Total people in Club X = 108 + 74 = 182
Step 4: Find females in Clubs A and C
Club A:
Females = 600 − 240 = 360
Club C:
Total people = 18% of 2500 = 450
Males = 35% of 1200 = 420
Females = 450 − 420 = 30
Total females in A and C = 360 + 30 = 390
Step 5: Find the required difference
Difference = 390 − 182 = 208
Answer: 208
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