Read the following information carefully and then answer the questions that follow : A publishing firm publishes newspapers A, B and C. In an effort to persuade advertisers to insert advertisements in these newspapers, the firm sends out the following statements to possible advertisers A survey of representative sample of the whole population shows that – Newspaper A is read by 26% Newspaper B is read by 25% Newspaper C is read by 14% Newspaper A and B are read by 11% Newspaper B and C are read by 10% Newspaper C and A are read by 9% Newspaper C only is read by 0% The percentage of readers who read Newspapers A and B but not C, is
Answers
The percentage of readers who read Newspapers A and B but not C, is 26 %
Step-by-step explanation:
A = 26 %
B = 25 %
C = 14%
A ∩ B = 11 %
B ∩C =10 %
A ∩ C = 9 %
A ∩ B∩C = x
C only is read by 0%
C only = C - A ∩ C - B ∩C + A ∩ B∩C
=> 0 = 14 - 9 - 10 + x
=> x = 5
A ∩ B∩C = 5
A only = A - A ∩ B - A ∩C + A ∩ B∩C
A only = 26 - 11 - 9 + 5
A only = 11
B only = B- A ∩ B - B ∩C + A ∩ B∩C
B only = 25 - 11 - 10 + 5
B only = 9
The percentage of readers who read Newspapers A and B but not C, is
= A only + B only + A ∩ B - A ∩ B∩C
= 11 + 9 + 11 - 5
= 26 %
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Answer:
A bit lengthy, hope you understand, please mark as brainliest
First, lets set some variables:
People who read only A = P%
People who read only B = Q%
People who read only C = R%
People who read A & B but not C = S%
People who read B & C but not A = T%
People who read A & C but not B = U%
People who read A, B and C = V%
(You can refer to image to understand the variables)
Now,
we are given following info
P + S + U + V = 26............................................................(1)
Q + S + T + V = 25............................................................(2)
R + T + U + V = 14...............................................................(3)
S + V = 11.................................................................................(4)
T + V = 10........................................................................(5)
U + V = 9.................................................................................(6)
R = 0......................................................................................(7)
Now let us solve above equations to find out S
From (6), (7) and (3), we get
T = 5......................................................................................(8)
From (8) and (5) we get
V = 5..........................................................................................(9)
From (9) and (4) we get
S = 6
Thus, The percentage of readers who read Newspapers A and B but not C, is 6%
