Question Details

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.

Options

A

33%

B

48%

C

45%

D

41%

E

19%

Show Answer

Correct Answer :

Option E

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 = 24100×2500=600

Total males visiting Club A = 20% of 1200 = 20100×1200=240

Total females visiting Club A = 600 - 240 = 360


Total people visiting Club B = 16% of 2500 = 16100×2500=400

Total males visiting Club B = 15% of 1200 = 15100×1200=180

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 = 30100×2500=750

Total males visiting Club D = 12% of 1200 = 12100×1200=144

Total females visiting Club D = 750 - 144 = 606


Total people visiting Club E = 12% of 2500 = 12100×2500=300

Total males visiting Club E = 18% of 1200 = 18100×1200=216

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 = 690-580580×100=110580×100=11005818.96%

Rounding off to the nearest whole number gives approximately 19%.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...