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The price of a gallon of milk in 1990 was ten percent higher than it

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The price of a gallon of milk in 1990 was ten percent higher than it  [#permalink]

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New post 11 Jan 2019, 07:42
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E

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  55% (hard)

Question Stats:

64% (01:18) correct 36% (01:35) wrong based on 67 sessions

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The price of a gallon of milk in 1990 was ten percent higher than it was in 1985, and the price of a pound of butter in 1990 was ten percent higher than it was in 1985. What was the price of a gallon of milk in 1990?

(1) The sum of the prices of a gallon of milk and a pound of butter in 1985 was $5.00.

(2) The sum of the prices of a gallon of milk and a pound of butter in 1990 was $5.50.

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Re: The price of a gallon of milk in 1990 was ten percent higher than it  [#permalink]

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New post 11 Jan 2019, 10:15
CAMANISHPARMAR wrote:
The price of a gallon of milk in 1990 was ten percent higher than it was in 1985, and the price of a pound of butter in 1990 was ten percent higher than it was in 1985. What was the price of a gallon of milk in 1990?

(1) The sum of the prices of a gallon of milk and a pound of butter in 1985 was $5.00.

(2) The sum of the prices of a gallon of milk and a pound of butter in 1990 was $5.50.


price of a gallon of milk in 1985 =x
price of a gallon of milk in 1990 =1.1x (to find )

price of a pound of butter in 1985 =y
price of a pound of butter in 1990 =1.1y

(1) The sum of the prices of a gallon of milk and a pound of butter in 1985 was $5.00
x+y = 5
here x and y can have any value, Insufficient.

(2) The sum of the prices of a gallon of milk and a pound of butter in 1990 was $5.50
1.1x+1.1y = 5.50
1.1(x+y) = 5.50
x+y = 5 (gives us the same equation as statement 1)
here x and y can have any value, Insufficient.

Combine both the statements
x+y = 5
Again x and y can have any value, Insufficient.

Answer E
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Re: The price of a gallon of milk in 1990 was ten percent higher than it  [#permalink]

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New post 12 Jan 2019, 04:48
CAMANISHPARMAR wrote:
The price of a gallon of milk in 1990 was ten percent higher than it was in 1985, and the price of a pound of butter in 1990 was ten percent higher than it was in 1985. What was the price of a gallon of milk in 1990?

(1) The sum of the prices of a gallon of milk and a pound of butter in 1985 was $5.00.

(2) The sum of the prices of a gallon of milk and a pound of butter in 1990 was $5.50.


The simplest and quickest way i think is , that as no value has been quoted for milk and Butter specifically we cannot assume a random value in DS. The Butter could be $3 and Milk could be $2. Or any combination that gets $5. So E is the answer.
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Re: The price of a gallon of milk in 1990 was ten percent higher than it  [#permalink]

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New post 12 Jan 2019, 10:10
Yes, they give you the sum but not the amounts by themselves. When you look at the statements, the amounts are also increased by 10%. So it's E.
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Re: The price of a gallon of milk in 1990 was ten percent higher than it   [#permalink] 12 Jan 2019, 10:10
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