From the table having the partial information, it was seen that :

1) The number of ladies were 32, which was 40% of the total inmates

Thus the total number of hostel inmates were (32/40)*100 = 80

2) Thus the number of gentlemen inmates were = (80 – 32) = 48

3) It was found out by the Warden that one-third of the gentlemen inmates preferred an egg meal for dinner

So the number of gentlemen inmates preferring an egg meal for dinner = 48/3 = 16

4) It was also found out by the Warden that half the hostel inmates preferred either fish meal or chicken meal

So number of hostel inmates who preferred an egg meal for dinner = (Number of hostel inmates who preferred a fish meal for dinner + Number of hostel inmates who preferred a chicken meal for dinner) = 80/2 = 40

5) Total number of hostel inmates who preferred a fish meal for dinner = 60 (given)

6) Therefore, the number of hostel inmates who preferred a chicken meal for dinner = (80 – 60) = 20

7) Hence number of lady inmates who preferred a chicken meal for dinner = 20 – 20 = 0

8) The total number of gentlemen inmates preferring a fish meal for dinner = (96 – 32 – 20) = 44

9) The number of lady inmates who preferred an egg meal for dinner = (Total hostel inmates who preferred an egg meal for dinner – Total gentlemen inmates preferring an egg meal for dinner) = (80 – 32) = 48

10) The number of lady inmates who preferred a fish meal for dinner = (Total hostel inmates who preferred a fish meal for dinner – Total gentlemen inmates preferring a fish meal for dinner) = (60 – 44) = 16

Now, from the above information, the given chart would change to the following :

 Hostel inmates Menu preference for dinner Total Egg Meal Fish Meal Chicken Meal Gents 32 44 20 96 Ladies 48 16 0 64 Total 80 60 20 160

Thus the proportion of lady hostel inmates who preferred a fish meal for dinner = 16/64 = 1/4 = 0.25