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Re: A clothing store's revenue last May was 6 percent less than [#permalink]
gross profit = revenue - expenses

May revenue: 0.94R
April revenue: R

Was the gross profit in May > gross profit in April? To determine this we need to know the expenses in May and April.

(1) Clearly insufficient.

(2) April gross profit = X - R
May gross profit = 0.94X - 0.96R

Is X - R > 0.94X - 0.96R?

Let X = 200, E = 100

200 - 100 = 100 in April
192 - 96 = 96 in May

SUFFICIENT.

Answer is B.
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Re: A clothing store's revenue last May was 6 percent less than [#permalink]
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Video solution from Quant Reasoning starts at 14:40
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
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Re: A clothing store's revenue last May was 6 percent less than [#permalink]
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ThatDudeKnows avigutman please confirm if my understanding is correct here

Given rev> exp:
1. If revenue decreases by more % compared to expenses decrease %, then revised GP will be lesser than older GP
2. If revenue decreases by equal % as expenses %, then revised GP will decrease by same % and will still be lesser than older GP
3. If exp decreases by more % that revenue %, then revised GP will be more than older GP
And does the above hold rtrue regardless of the magnitude of either expense or revenue given revenue > expense? So basically does the above hold true even of revenue or exp take very low or high figures compared to each other given the condition is met
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Re: A clothing store's revenue last May was 6 percent less than [#permalink]
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Elite097 wrote:
ThatDudeKnows avigutman please confirm if my understanding is correct here

Given rev> exp:
1. If revenue decreases by more % compared to expenses decrease %, then revised GP will be lesser than older GP
2. If revenue decreases by equal % as expenses %, then revised GP will decrease by same % and will still be lesser than older GP
3. If exp decreases by more % that revenue %, then revised GP will be more than older GP
And does the above hold rtrue regardless of the magnitude of either expense or revenue given revenue > expense? So basically does the above hold true even of revenue or exp take very low or high figures compared to each other given the condition is met


Yes, all true. I advise you to draw a number line and apply some reasoning to test those "rules.", Elite097
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Re: A clothing store's revenue last May was 6 percent less than [#permalink]
avigutman wrote:
Elite097 wrote:
ThatDudeKnows avigutman please confirm if my understanding is correct here

Given rev> exp:
1. If revenue decreases by more % compared to expenses decrease %, then revised GP will be lesser than older GP
2. If revenue decreases by equal % as expenses %, then revised GP will decrease by same % and will still be lesser than older GP
3. If exp decreases by more % that revenue %, then revised GP will be more than older GP
And does the above hold rtrue regardless of the magnitude of either expense or revenue given revenue > expense? So basically does the above hold true even of revenue or exp take very low or high figures compared to each other given the condition is met


Yes, all true. I advise you to draw a number line and apply some reasoning to test those "rules.", Elite097



avigutman I mean I wrote them after thinking something and these rules were not provided anywhere really but somehow cannot imagine the number line thing very clerly as to why that ratio needs to be proven to be >1
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Re: A clothing store's revenue last May was 6 percent less than [#permalink]
Instead of solving you could consider just reasoning it out.

If the question doesn't ask for hard numbers, but rather a relationship, then you don't need any info that gives you hard numbers usually. With this logic, you can say that 1) is not necessary, and since 2) gives the missing relationship of expenses (relationship of revenue given in stem), 2) will be sufficient in answer this question.
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Re: A clothing store's revenue last May was 6 percent less than [#permalink]
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mun23 wrote:
A clothing store's revenue last May was 6 percent less than its revenue last April. The store's revenue last May was greater than its expenses last May, and the store's revenue last April was greater than its expenses last April. Was the stores gross profit last May less than its gross profit last April?

(1) The stores revenue last May was $2,400 less than its revenue last April.
(2) The stores expenses last May were 4 percent less than its expenses last April.

01643

­Statement 1:
No information about expenses. 
INSUFFICIENT.

Statement 2:
Let the revenue in April = 100, with the result that the revenue in May = 6% less $100 = 94
Let x = the expenses in April, with the result that the expenses in May = 4% less than x = 0.96x
Is May's profit less than April's profit?
Translated into math:
94 - 0.96x < 100 - x ?
0.04x < 6 ?
x < 150 ?
Since the prompt requires that the expenses in April be less than the revenue in April, we know that x < 100.
Thus, the answer to the rephrased question stem is YES.
SUFFICIENT.



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