In a marketing survey for products A, B, and C, 1,000 people were asked which of the products, if any, they use. The three circular regions in the diagram above represent the numbers of people who use products A, B, and C, according to the survey results. Of the people surveyed, a total of 400 use A, a total of 400 use B, and a total of 450 use C.
A & C=125
A & B=125
B & C= 100
A&B &C=75
What percent of the people surveyed use product A or product B or both, but not product C ?
(A) 12.5%
(B) 17.5%
(C) 30%
(D) 40%
(E) 60%
C
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We have to find 3 values
only A + only B + A&B both
only A = A - (A&C) - (A&B) - (A&B&C) = 400 - 125 - 125 - 75 = 75
only B = B - (B&C) - (A&B) - (A&B&C) = 400 - 100 - 125 - 75 = 100
A&B = 125
TOTAL surveyed = 1000
75 + 100 + 125 = 300
(300/1000)*100 = 30%
This is much easier to do with Venn Diagram as compared with formula.
Hope this helps.
only A + only B + A&B both
only A = A - (A&C) - (A&B) - (A&B&C) = 400 - 125 - 125 - 75 = 75
only B = B - (B&C) - (A&B) - (A&B&C) = 400 - 100 - 125 - 75 = 100
A&B = 125
TOTAL surveyed = 1000
75 + 100 + 125 = 300
(300/1000)*100 = 30%
This is much easier to do with Venn Diagram as compared with formula.
Hope this helps.
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