Practice GMAT Data Sufficiency Question
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John’s Pack and Ship uses price discrimination to capture consumer surplus. How much revenue did John's firm earn last week if it shipped 100 packages for customers?
 For 75% of the packages John shipped, he charged the storefront rate. John charged the bulkrate for the remainder of the packages.
 John’s storefront rate was $4, more than double his bulkrate.
Correct Answer: E
 Revenue = Cost_{storefront}*Quantity_{storefront} + Cost_{bulk}*Quantity_{bulk}

Evaluate Statement (1) alone.
 StoreFront: 75% of 100 packages is 75 packages at the storefront rate.
 Bulk: The remainder (or 25%) of the 100 packages (i.e., 10075 = 25) is 25 packages at the bulkrate.
 Without any dollar amounts (such as the cost of the bulkrate and the cost of the storefront rate), it is impossible to calculate John’s total revenue.
 Statement (1) alone is NOT SUFFICIENT.

Evaluate Statement (2) alone.
 Translate Statement (2) into algebra:
StoreFront > 2(Bulk)
$4 > 2(Bulk)
Bulk < $2  Although Statement (2) tells us the dollar amount of each shipping rate, without information about the number of packages shipped at each rate, it is impossible to calculate John’s revenue.
 Statement (2) alone is NOT SUFFICIENT.
 Translate Statement (2) into algebra:

Evaluate Statements (1) and (2) together.
 StoreFront: 75 packages {from Statement (1)} shipped at $4 each {from Statement (2)} > $300 in revenue from the storefront rate.
 Bulk: 25 packages shipped at less than $2 each; no more than $50 in revenue from the bulkrate.
 However, you still cannot calculate the total revenue definitively.
Revenue = Cost_{storefront}*Quantity_{storefront} + Cost_{bulk}*Quantity_{bulk}
Filling in what we found thus far:
Revenue = $4*75 + Cost_{bulk}*25  Statements (1) and (2), even when taken together, are NOT SUFFICIENT.
 Since Statement (1) alone is NOT SUFFICIENT, Statement (2) alone is NOT SUFFICIENT, and Statements (1) and (2), even when taken together are NOT SUFFICIENT, answer E is correct.
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