E: 80?

Sorry is the answer = 75?

Total No of people= 260

No. of people who purchased A+B+C+D+E =
61+88+56+75+60 = 340

So atleast 340-260 = 80 people would have bought more than 1 stock.

But to buy both B and D it would have to 75 people.

Im sorry answer = 75 people

here's the oa..

ANSWER is D (75)

since they have asked us to find out the greatest possible number buying both B as well as D, the answer has to be the smallest no between the two which is 75...as all the guys purchasing D can also buy B and only 75 out of 88 purchasing B can simultaneously purchase D as well....

from the question, 260 people purchased stocks.
people who purchased stock A = 61
B = 88
C = 56
D = 75
E = 60

The question asked us to find the greatest possible number of people who purchased B and D.
so, adding the total number of people that purchased A,B,C,D,E, we have 61+88+56+75+60=340

340-260= 80 (meaning that at least, one person will buy more than one stock).

To get the greatest possible number of those that purchase stock B and D, then we will consider the least number of stock purchased in these two categories.
since 88 purchased B, and 75 purchased D.
Then, 75 of people who purchased D also purchased B.

so, option D is right