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15 Feb 2020, 05:28
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Difficulty:
55%
(hard)
Question Stats:
63% (01:49) correct
37%
(02:01)
wrong
based on 27
sessions
History
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A speedboat manufacturer has a variable cost-to-profit ratio based on the number of units sold. If the company sold 2,500 boats last fiscal year, and no other products, were its profits greater than $5,000,000?
(1) Its profits from the first 2,000 boats sold were greater than $4,000,000
(2) Its profits from each of the last 500 boats sold were less than $2,500
(1) Its profits from the first 2,000 boats sold were greater than $4,000,000
(2) Its profits from each of the last 500 boats sold were less than $2,500
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
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16 Feb 2020, 17:45
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Let’s say the profit for the first 2000 boats is A , for the last 500 is B
1) not sufficient
A> 4 million ,but we don’t know anything about B
If A=4.2 B=1 , A+B>5 . If A=4.2 , B=0.5 ,A+B = 4.7 < 5
2) same idea , not sufficient
1)+2)
Since A>4 ... if B>= 1 ..then A+B> 5 ....but B >1 when unit price > 2000 ; B<1 when unit price <2000....since unit price < 2500..either result is possible
Hence E
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1) not sufficient
A> 4 million ,but we don’t know anything about B
If A=4.2 B=1 , A+B>5 . If A=4.2 , B=0.5 ,A+B = 4.7 < 5
2) same idea , not sufficient
1)+2)
Since A>4 ... if B>= 1 ..then A+B> 5 ....but B >1 when unit price > 2000 ; B<1 when unit price <2000....since unit price < 2500..either result is possible
Hence E
Posted from my mobile device
22 Feb 2020, 02:44
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The question states that if the company sold 2,500 boats, were its profits greater than $5,000,000
Statement-1 states that
Profits from the first 2,000 boats sold were greater than $4,000,000.
It can be 5,000,000 or 6,000,000 too.
Also no information is given on 500 boats from total of 2500 boats.
Hence Insufficient.
Cancel AD.
Statement-2 states that
Its profits from each of the last 500 boats sold were less than $2,500
But no information is given on 2000 boats sold.
Cancel B
Taking statement-1 and statement-2 together.
We still have the same problem that 2,000 boats sold can be at 4,000,001 or at 6,000,000,
Hence insufficient.
Cancel C.
Right Option is E
Statement-1 states that
Profits from the first 2,000 boats sold were greater than $4,000,000.
It can be 5,000,000 or 6,000,000 too.
Also no information is given on 500 boats from total of 2500 boats.
Hence Insufficient.
Cancel AD.
Statement-2 states that
Its profits from each of the last 500 boats sold were less than $2,500
But no information is given on 2000 boats sold.
Cancel B
Taking statement-1 and statement-2 together.
We still have the same problem that 2,000 boats sold can be at 4,000,001 or at 6,000,000,
Hence insufficient.
Cancel C.
Right Option is E
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
