MacFauz wrote:
emmak wrote:
A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number of people surveyed by the company?
46
80
90
100
200
100 = x + x - 20 + 23 - 23
x = 60,
So, Product A = 60%, Product B = 40%, Both = 23%, Neither = 23%
23% of the total no. of people should be an integer. So, A,B & C are out.
60% of D and 40% of D are both integers. So, D satisfies all conditions.
So, answer is D.
Even if it does not affect the result and the reasoning, in this case, I believe that the sentence is not completely clear because it should clarify if:
- x contains people who likes ONLY A, or not;
- (x - 20) contains people who likes only B, or not.
The result in this case is not affected (D in both cases), but the computation of x and x-20 is.
Patrizio