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At a warehouse, an order was shipped out, reducing the numbe

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4720
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1622 [0], given: 385

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At a warehouse, an order was shipped out, reducing the numbe [#permalink] New post 10 Jun 2018, 04:03
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Question Stats:

99% (00:33) correct 0% (00:00) wrong based on 7 sessions
At a warehouse, an order was shipped out, reducing the number of parts in inventory by half. Then a shipment of parts was received, increasing the current number of parts in inventory by 50%.

Quantity A
Quantity B
The number of parts in inventory before the two shipments
The number of parts in inventory after the two shipments


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4720
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1622 [0], given: 385

CAT Tests
Re: At a warehouse, an order was shipped out, reducing the numbe [#permalink] New post 01 Jul 2018, 14:09
Expert's post
Explanation

The number of parts in inventory first decreased by 50%, then increased by 50%.

If the initial number of parts in inventory was x, the number after both shipments was x(0.50)(1.5) = 0.75x.

The number of parts after the shipments was 75% of the number before, which is fewer. Quantity A is greater.

Alternatively, choose a smart number to test. If x = 100, then the inventory first decreased to 50, and then increased from 50 to 75. Quantity A is 100 and Quantity B is 75.


Finally, it is possible to solve this question using logic. The 50% decrease is taken as a percent of the original number. The 50% increase, however, is taken as a percent of the new, smaller number.

The increase, therefore, must be smaller than the decrease, making the final value smaller than the original.
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Sandy
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Re: At a warehouse, an order was shipped out, reducing the numbe   [#permalink] 01 Jul 2018, 14:09
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