An antiques dealer purchased three cabinets at three

[BTGmoderatorLU]

Source: Manhattan Prep

An antiques dealer purchased three cabinets at three distinct costs last year and resold all three of those cabinets for three distinct prices this year. If the median price was received for the cabinet that had cost the median amount, and the antiques dealer made a 10% profit on that cabinet, did the dealer make more than a 10% profit margin on any one of the three cabinet sales?

(1) One of the cabinets sold for a price less than its original cost.
(2) The cabinet that sold for the lowest price was the one that cost the antiques dealer the most to purchase.

The OA is B

[deloitte247]

Medium price - Medium cost = 10 % margin
Did the dealer make more than a 10% profit margin on any one of the three cabinet sales ?

Statement 1
One of the cabinet sold for a price less than the original cost.
We are not informed as to whether this is for the cabinet with the highest or lowest price, hence statement 1 is INSUFFICIENT.

Statement 2
The cabinet that sold for the lowest price was the one that cost the antiques dealer the most to purchase.
Cabinet sold for lowest price has the highest cost.
Cabinet sold for highest price has the lowest cost.
Lowest price - Highest cost < 10% margin.
medium price - medium cost = 10% margin.
Highest price - lowest cost > 10 % margin.

Statement 2 is SUFFICIENT,
Hence,
$$Option\ B\ is\ correct$$