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10 Dec 2018, 03:36
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C
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Difficulty:
75%
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Question Stats:
54% (02:12) correct
46%
(02:11)
wrong
based on 880
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In a certain city, the ratio of the number of people who purchase newspaper X to the number of people who purchase newspaper Y is 7:1. What percent of the population purchases newspaper Y?
(1) Twenty-seven percent of the population purchases neither newspaper X nor newspaper Y.
(2) Seventy percent of the people who purchase newspaper Y also purchase newspaper X.
(1) Twenty-seven percent of the population purchases neither newspaper X nor newspaper Y.
(2) Seventy percent of the people who purchase newspaper Y also purchase newspaper X.
10 Dec 2018, 16:24
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eswarchethu135
imo, the number of people who do not purchase any newspaper= Total population- (the no. of people who buy newspaper x + the no. of people who buy newspaper y - who buy both), because the no of people who buy both are being counted twice. So, Statement 2 is needed to answer the question.
So, 0.27P=P-8x+y should be the equation, where y= no. of people who buy both newspapers.
IMO, option C.
02 May 2020, 09:39
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Let
only x = a
only y = c
x&y = b
Neither x nor y = d
Given
(A) = a + b + c + d = 100
(B) = (a+b)/(b+c) = 7/1 => a = 6b+7c
They are asking b+c = ?
Statement 1:
d=27 Insufficient
Statement 2:
(b+c)*7/10=b =>
3b=7c
This equation combined with (A) & (B) is not enough
Lets combine statement 1 & 2
we get 4 equations
a + b + c + d = 100
a = 6b+7c
d=27
3b=7c
none of them are parallel so this is sufficient
Answer c
only x = a
only y = c
x&y = b
Neither x nor y = d
Given
(A) = a + b + c + d = 100
(B) = (a+b)/(b+c) = 7/1 => a = 6b+7c
They are asking b+c = ?
Statement 1:
d=27 Insufficient
Statement 2:
(b+c)*7/10=b =>
3b=7c
This equation combined with (A) & (B) is not enough
Lets combine statement 1 & 2
we get 4 equations
a + b + c + d = 100
a = 6b+7c
d=27
3b=7c
none of them are parallel so this is sufficient
Answer c
