Madge paid A dollars for R bananas. Dean paid B dollars for

[BTGmoderatorDC]

Madge paid A dollars for R bananas. Dean paid B dollars for S bananas. Which one of them paid a higher price-per-banana?

1) B > A

2) R > S

OA C

Source: Magoosh

[Jay@ManhattanReview]

Madge paid A dollars for R bananas. Dean paid B dollars for S bananas. Which one of them paid a higher price-per-banana?

1) B > A

2) R > S

OA C

Source: Magoosh

Given:

Madge paid $A/R per banana
Dean paid $B/S per banana

Question: Which one of them paid a higher price-per-banana?

Or, which between A/R and B/S is greater?

Let's take each statement one by one.

1) B > A

Case 1: If S < R, the answer is B/S, i.e. compared to Madge, Dean paid more for fewer bananas.
Case 2: If S >> R, the answer may be A/R, i.e. compared to Madge, though Dean paid more, he got far greater number of bananas, making B/S < A/R.

No unique answer. Insufficient.

2) R > S

Needless to state that after reading the analysis of Statement 1, Statement 2 is insufficient.

(1) and (2) together

Case 3: B > A and R > S.

In other words, compared to Madge, Dean paid more for fewer bananas, making B/S > A/R. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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