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If the ratio of the price of 1 kilogram Camembert cheese to

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If the ratio of the price of 1 kilogram Camembert cheese to

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If the ratio of the price of 1 kilogram Camembert cheese to the price of 1 kilogram Brie cheese is 5:8, then the price of a kilogram of Toma cheese is how much higher (in dollars) than the price of a kilogram of Camembert cheese?

1) The price of 1 kilogram of Brie cheese is 25% higher than the price of 1 kilogram of Toma cheese.
2) The price of 1 kilogram of Toma cheese is 28% higher than the price of 1 kilogram of Camembert cheese.

The OA is E

Source: Economist GMAT

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swerve wrote:
If the ratio of the price of 1 kilogram Camembert cheese to the price of 1 kilogram Brie cheese is 5:8, then the price of a kilogram of Toma cheese is how much higher (in dollars) than the price of a kilogram of Camembert cheese?

1) The price of 1 kilogram of Brie cheese is 25% higher than the price of 1 kilogram of Toma cheese.
2) The price of 1 kilogram of Toma cheese is 28% higher than the price of 1 kilogram of Camembert cheese.
What is the value of T-C?

Statement 1:
T:B = 4:5.
To combine T:B = 4:5 and C:B = 5:8, the element common to both ratios -- B -- must be represented by the SAME VALUE in each:
T:B = 4:5 = 32:40.
C:B = 5:8 = 25:40.
Combining the two ratios, we get:
C:T:B = 25:32:40.
Case 1: T=32 and C=25, with the result that T-C = 32-25 = 7.
Case 2: T=64 and C=50, with the result that T-C = 64-50 = 14.
Since T-C can be different values, INSUFFICIENT.

The ratio yielded by Statement 1 also satisfies the condition in Statement 2 that T is 28% greater than C:
T:C = 32:25 = 128:100.
Thus, each statement implies the same ratio -- C:T:B = 25:32:40 -- with the result that Cases 1 and 2 satisfy BOTH statements.
Since T-C can be different values even when both statements are satisfied, the two statements combined are INSUFFICIENT.

The correct answer is E.

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