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.
Total Females visited clubs D and E together are approximately what percent more than total females visited clubs A and B together.
Correct Answer :
19%
Solution :
The correct answer is 19%.
Step 1: Understand the Data from the Pie Charts
From pie chart (i), the total number of people (male + female) visiting all five clubs is 2500, with the percentage distribution as follows:
• Club A = 24%
• Club B = 16%
• Club C = 18%
• Club D = 30%
• Club E = 12%
From pie chart (ii), the total number of males visiting all five clubs is 1200, with the percentage distribution as follows:
• Club A = 20%
• Club B = 15%
• Club C = 35%
• Club D = 12%
• Club E = 18%
Step 2: Calculate the number of females in Clubs A and B
Total people visiting Club A = 24% of 2500 =
Total males visiting Club A = 20% of 1200 =
Total females visiting Club A = 600 - 240 = 360
Total people visiting Club B = 16% of 2500 =
Total males visiting Club B = 15% of 1200 =
Total females visiting Club B = 400 - 180 = 220
Total females visiting Clubs A and B together = 360 + 220 = 580
Step 3: Calculate the number of females in Clubs D and E
Total people visiting Club D = 30% of 2500 =
Total males visiting Club D = 12% of 1200 =
Total females visiting Club D = 750 - 144 = 606
Total people visiting Club E = 12% of 2500 =
Total males visiting Club E = 18% of 1200 =
Total females visiting Club E = 300 - 216 = 84
Total females visiting Clubs D and E together = 606 + 84 = 690
Step 4: Calculate the required percentage increase
Difference in number of females = 690 - 580 = 110
Required percentage =
Rounding off to the nearest whole number gives approximately 19%.
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