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.

The correct answer is 208.

Given Data from the Pie Charts:

From Pie Chart (i): Total number of people (male + female) visiting all five clubs combined = 2500.

Percentage distribution of total people:

• Club A = 24%

• Club B = 16%

• Club C = 18%

• Club D = 30%

• Club E = 12%

From Pie Chart (ii): Total number of males visiting all five clubs combined = 1200.

Percentage distribution of males:

• Club A = 20%

• Club B = 15%

• Club C = 35%

• Club D = 12%

• Club E = 18%

Step 1: Calculate the total people and total males for relevant clubs

• Total people visiting Club A = 24% of 2500

$=\frac{24}{100}\times 2500=600$

• Total males visiting Club A = 20% of 1200

$=\frac{20}{100}\times 1200=240$

• Total females visiting Club A = Total people in A - Total males in A

$=600-240=360$

• Total people visiting Club B = 16% of 2500

$=\frac{16}{100}\times 2500=400$

• Total males visiting Club B = 15% of 1200

$=\frac{15}{100}\times 1200=180$

• Total females visiting Club B = 400 - 180 = 220

• Total people visiting Club C = 18% of 2500

$=\frac{18}{100}\times 2500=450$

• Total males visiting Club C = 35% of 1200

$=\frac{35}{100}\times 1200=420$

• Total females visiting Club C = 450 - 420 = 30

• Total people visiting Club E = 12% of 2500

$=\frac{12}{100}\times 2500=300$

• Total males visiting Club E = 18% of 1200

$=\frac{18}{100}\times 1200=216$

• Total females visiting Club E = 300 - 216 = 84

Step 2: Find details for Club X

It is given that total males visiting Club X are 45% of total males visiting Club A:

• Total males in Club X = 45% of 240

$=\frac{45}{100}\times 240=108$

We are given that the average number of females visiting clubs B, E, and X is 126:

$\frac{\text{Females (B)}+\text{Females (E)}+\text{Females (X)}}{3}=126$

• Total females in (B + E + X) = 126 × 3 = 378

• Total females in Club X = 378 - (Females in B + Females in E)

$=378-(220+84)$

$=378-304=74$

• Total people visiting Club X = Males in X + Females in X

$=108+74=182$

Step 3: Calculate total females in Clubs A and C together

• Total females in A and C together = Females in A + Females in C

$=360+30=390$

Step 4: Find the required difference

• Required Difference = (Total females in A and C together) - (Total people visiting Club X)

$=390-182=208$

Thus, the required difference is 208.