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30 Apr 2025, 05:48
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At the beginning of the month, a clothing store had 5 shirts for every 11 pairs of pants in its inventory. During the month, no new items had been added, and some items may have been sold. What was the ratio of shirts to pants in the inventory at the end of the month?
(1) The store sold 150 shirts during the month.
(2) For every 3 shirts the store sold during the month, it sold 12 pairs of pants.
(1) The store sold 150 shirts during the month.
(2) For every 3 shirts the store sold during the month, it sold 12 pairs of pants.
30 Apr 2025, 05:48
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Official Solution:
At the beginning of the month, a clothing store had 5 shirts for every 11 pairs of pants in its inventory. During the month, no new items had been added, and some items may have been sold. What was the ratio of shirts to pants in the inventory at the end of the month?
(1) The store sold 150 shirts during the month.
This tells us how many shirts were sold, but it is not sufficient to determine the final ratio. Not sufficient.
(2) For every 3 shirts the store sold during the month, it sold 12 pairs of pants.
This simply implies that four times as many pairs of pants as shirts were sold, which is also not sufficient. For example, if the initial inventory was 50 shirts and 110 pants, and the store sold 3 shirts and 12 pants, the final ratio would be different from a case where it sold 6 shirts and 24 pants. Not sufficient.
(1)+(2) From (1), we know the store sold 150 shirts. From (2), that means it sold 600 pairs of pants. But we still do not know the initial quantities of shirts and pants, only their ratio. For example, if the initial inventory was 500 shirts and 1100 pants, the final ratio would differ from a case where the store started with 1000 shirts and 2200 pants. Different starting values lead to different outcomes, so we cannot determine a unique final ratio. Not sufficient.
Answer: E
At the beginning of the month, a clothing store had 5 shirts for every 11 pairs of pants in its inventory. During the month, no new items had been added, and some items may have been sold. What was the ratio of shirts to pants in the inventory at the end of the month?
(1) The store sold 150 shirts during the month.
This tells us how many shirts were sold, but it is not sufficient to determine the final ratio. Not sufficient.
(2) For every 3 shirts the store sold during the month, it sold 12 pairs of pants.
This simply implies that four times as many pairs of pants as shirts were sold, which is also not sufficient. For example, if the initial inventory was 50 shirts and 110 pants, and the store sold 3 shirts and 12 pants, the final ratio would be different from a case where it sold 6 shirts and 24 pants. Not sufficient.
(1)+(2) From (1), we know the store sold 150 shirts. From (2), that means it sold 600 pairs of pants. But we still do not know the initial quantities of shirts and pants, only their ratio. For example, if the initial inventory was 500 shirts and 1100 pants, the final ratio would differ from a case where the store started with 1000 shirts and 2200 pants. Different starting values lead to different outcomes, so we cannot determine a unique final ratio. Not sufficient.
Answer: E
anshumannanda
Joined: 07 May 2020
Last visit: 02 May 2026
Posts: 7
Given Kudos: 3
Location: India
Schools: Booth '25 (D) Wharton '25 (D)
GMAT 1: 740 Q47 V45
GPA: 3.54
WE:Corporate Finance (Real Estate)
15 Dec 2025, 06:29
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I like the solution - it’s helpful.
