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.

             

If total females visited club F are 25% more than total female visited club E and total number of people visited club F are $\frac{11}{8}$^th of the total number of males visited club D, then find the ratio of total males visited club F to total male visited club E.

The correct option is 31 : 72.

Step 1: Extract basic data from the given pie charts

From pie chart (i):
Total number of people (male + female) visiting all five clubs = 2500
Total people visiting club E = 12% of 2500 = $\frac{12}{100}\times 2500=300$

From pie chart (ii):
Total number of males visiting all five clubs = 1200
Total males visiting club E = 18% of 1200 = $\frac{18}{100}\times 1200=216$
Total males visiting club D = 12% of 1200 = $\frac{12}{100}\times 1200=144$

Step 2: Find the number of females visiting club E

Total females visiting club E = (Total people visiting club E) - (Total males visiting club E)
Total females visiting club E = $300-216=84$

Step 3: Calculate the details for club F

It is given that total females visiting club F are 25% more than total females visiting club E:
Total females visiting club F = $84\times (1+\frac{25}{100})=84\times \frac{5}{4}=105$

It is also given that the total number of people visiting club F is $\frac{11}{8}$^th of the total number of males visiting club D:
Total people visiting club F = $\frac{11}{8}\times 144=11\times 18=198$

Therefore, total males visiting club F = (Total people visiting club F) - (Total females visiting club F)
Total males visiting club F = $198-105=93$

Step 4: Find the required ratio

Ratio of total males visiting club F to total males visiting club E = $93:216$

Dividing both terms by 3 gives:
$\frac{93}{3}:\frac{216}{3}=31:72$