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16 Dec 2025, 10:03
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The ratio of "Neither likes.." to "Both like" is a misdirect imo. (or i misunderstood the question completely)
the first 2 ratio's provided seem sufficent to answer the question. The first ratio can be represented in terms of (x+y) and substitute it in the second to get it in the form of x/y
1. x/(x+y) = 3/2 ==> (x+y)=2/3x -- 1
2. y/(x+y) = 3
subsitituting 1 in 2
you get x/y = 1/2
the first 2 ratio's provided seem sufficent to answer the question. The first ratio can be represented in terms of (x+y) and substitute it in the second to get it in the form of x/y
1. x/(x+y) = 3/2 ==> (x+y)=2/3x -- 1
2. y/(x+y) = 3
subsitituting 1 in 2
you get x/y = 1/2
16 Dec 2025, 10:08
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Ratio of the number of tenants who support prop. X to the number who support both X and Y = 3:2
Ratio of the number of tenants who support prop. Y to the number who support both prop. (X and Y) = 2*(3/2) = 6:2
Ratio of the number of tenants who support neither X nor Y to the number who support both prop. = (1/2)(3/2) = 3:4
X = 3k
Y = 6k
Both = 2k
Only X = 3k-2k = k
Only Y = 6k - 2k = 4k
Ratio of number of tenants who support only X to the number who support only Y = k:4k = 1:4 (A)
P.S., the mention of neither in the question seems distracting to me
Ratio of the number of tenants who support prop. Y to the number who support both prop. (X and Y) = 2*(3/2) = 6:2
Ratio of the number of tenants who support neither X nor Y to the number who support both prop. = (1/2)(3/2) = 3:4
X = 3k
Y = 6k
Both = 2k
Only X = 3k-2k = k
Only Y = 6k - 2k = 4k
Ratio of number of tenants who support only X to the number who support only Y = k:4k = 1:4 (A)
P.S., the mention of neither in the question seems distracting to me
16 Dec 2025, 10:10
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Given
x : x+y = 3:2, y : x+y = 3, none : x+y = 3:4
Bringing the 'x+y' to a common value(by multiplying the first two by 2), we get
x : x+y = 6:4, y : x+y = 12:4, none : x+y = 3:4
Combined
x : y : x+y : none = 6:12:4:3
Now, x alone is 6 - 4 = 2, and y alone is 12 - 4 = 8 (we can do this because the multiplier is the same here).
So their ratio is 1:4, option A
x : x+y = 3:2, y : x+y = 3, none : x+y = 3:4
Bringing the 'x+y' to a common value(by multiplying the first two by 2), we get
x : x+y = 6:4, y : x+y = 12:4, none : x+y = 3:4
Combined
x : y : x+y : none = 6:12:4:3
Now, x alone is 6 - 4 = 2, and y alone is 12 - 4 = 8 (we can do this because the multiplier is the same here).
So their ratio is 1:4, option A
Bunuel
