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07 Aug 2024, 08:45
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
65% (01:52) correct
35%
(01:50)
wrong
based on 99
sessions
History
Date
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Not Attempted Yet
Company M has exactly two product lines and no other sources of revenue. If the consumer product line experienced a k% increase in the annual revenue (where k is a positive integer) from 2014 to 2015, and the machine product line experienced a k% decrease in the annual revenue (where k is a positive integer) from 2014 to 2015, did Company M's annual revenue increase in 2015?
(1) In 2014, the consumer product line generated less revenue than the machine product line.
(2) k = 10
(1) In 2014, the consumer product line generated less revenue than the machine product line.
(2) k = 10
09 Aug 2024, 15:03
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Bunuel
Since the % increase and decrease is same,net change will depend on the orginal revenue.
IF the revenue is same for both the product lines in 2014 : Then revenue remains the same in 2015.
(1) In 2014, the consumer product line generated less revenue than the machine product line.
This means that the K% increase on the lesser revenue will not be enough to offset the K% decrease on the higher revenue of the machine product tools. Hence we will have a net decrease in revenue.
SUFF.
(2) k = 10
Without knowing the original revenue in 2014 of both the product lines, we cannot answer this question.
INSUFF.
Ans A
Hope it helped.
13 Oct 2024, 05:22
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| consumer | product | total | |
| 2014 | Rc | Rp | Rc+Rp |
| 2015 | Rc(1+k%) | Rp(1-k%) | Rc(1+k%)+ Rp(1-k%) |
| delta | Rc(1+k%)+ Rp(1-k%)-(Rc+Rp) |
the question is asking if there was an increase, so if the delta is greater than zero
Rc(1+k%)+ Rp(1-k%)-(Rc+Rp) > 0
thu, by solving the inequality, we find that the problem is asking us if the revenues from consumer line is greater than the revenues in the product line:
Rc > Rp ?
(1) literally tells us that Rc<Rp --> SUFFICIENT
(2) this piece of information is not needed and not sufficient alone --> NOT SUFFICIENT
