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Director  V
Joined: 12 Feb 2015
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The price of a gallon of milk in 1990 was ten percent higher than it  [#permalink]

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Difficulty:   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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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.

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Intern  B
Joined: 26 Apr 2018
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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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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.
Intern  Joined: 19 Aug 2017
Posts: 11
GMAT 1: 680 Q51 V30 Re: The price of a gallon of milk in 1990 was ten percent higher than it  [#permalink]

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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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Free resources: Probabilities Seminar - Error_Log - Ultimate guide to understand the GMAT Algorithm 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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