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Re: If a club made a gross profit of $0.25 for each candy bar it sold, how [#permalink]
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Bunuel wrote:
If a club made a gross profit of $0.25 for each candy bar it sold, how many candy bars did the club sell?

(1) The total revenue from the sale of the candy bars was $300.
(2) If the club had sold 80 more candy bars, its gross profits would have increased by 20 percent.


DS21195


One should know that Gross Profit is equal to REVENUE- COST
One can set up the equation 0.25*Q = Net Profit.
So if we know the net profit, we can figure out Q
Fyi: Usually when there are two variables and 1 equation, the answer choice is usually A, B or D (take it with a grain of salt)

1.) Revenue*Q = 300
We don't know the cost value.
Statement 1 is Insufficient

2.) When we convert statement two into a math equation, you get (Q+80)(0.25) = 1.2NP
And we know NP = (0.25)(Q) from the stem
So you get (Q+80)(0.25) = 1.2(0.25)(Q)
Q+80 = 1.2Q
We can solve for Q (no need to actually solve for Q, that would be a waste of time).
STATEMENT 2 is SUFFICIENT

ANSWER IS B!
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Re: If a club made a gross profit of $0.25 for each candy bar it sold, how [#permalink]
Bunuel wrote:
If a club made a gross profit of $0.25 for each candy bar it sold, how many candy bars did the club sell?

(1) The total revenue from the sale of the candy bars was $300.
(2) If the club had sold 80 more candy bars, its gross profits would have increased by 20 percent.

Are You Up For the Challenge: 700 Level Questions



gross profit = revenue - costs

(1) Total revenue = $300

We're told the gross profit is 0.25 for each candy bar; however we don't know the number of candy bars sold. INSUFFICIENT.

(2) If the club had sold 80 more candy bars, its gross profit would have increased by 20 percent.

\(80 * 0.25 = $20\) gross profit (20%)

Therefore 100% gross profit would be $100.

Answer is B.
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Re: If a club made a gross profit of $0.25 for each candy bar it sold, how [#permalink]
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A: First only statement 1:
If a club made a gross profit of $0.25 for each candy bar it sold, how many candy bars did the club sell?
(1) The total revenue from the sale of the candy bars was $300.

The statement tells us nothing about the number of candy bars. It could be 1 bar, 2 bars, ... 150 bars, 300 bars.
Statement 1 is Insufficient

B: Now only statement 2:
If a club made a gross profit of $0.25 for each candy bar it sold, how many candy bars did the club sell?
(2) If the club had sold 80 more candy bars, its gross profits would have increased by 20 percent.

Suppose the club sold n bars.
$0.25 gross profit on each bar, total gross profit = 0.25n

If the club has sold (n+80) bars
Total gross profit would be (0.25)(n+80) = (20% more than the original gross profit) = (1.2)(0.25n)
==> (0.25)(n+80) = (1.2)(0.25n)
==> 0.25n + 20 = 0.3n
==> n can be calculated
Statement 2 is sufficient
The answer is B.

On the dangers of misreading:
This is a fairly straightforward question (despite the 700 tag). It should have been a quick question too, if I hadn't misread Statement 2 as "If the club had sold 80% more candy bars...".
The misreading lead to to the equation 0.45n = 0.3n :dazed, reworking my steps, then rereading the statement, and discovering the problem.
On exam day a misreading like this can lead to a wrong answer or waste a LOT of time. Especially because once something is misread, it often stays misread.
The lesson to remember is this: read the text slowly and carefully, with a finger on the screen if necessary.
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Re: If a club made a gross profit of $0.25 for each candy bar it sold, how [#permalink]
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