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A candy wholesaler needs to quickly sell some candy bars [#permalink]
09 Aug 2009, 08:51
3
This post was BOOKMARKED
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E
Difficulty:
45% (medium)
Question Stats:
57% (02:11) correct
43% (00:52) wrong based on 265 sessions
A candy wholesaler needs to quickly sell some candy bars that are nearing their expiration date, so he reduced the price of the candy bars. By what percent did he reduce the price of the candy bars?
(1) The price of a candy bar was reduced by 36 cents. (2) If a candy retailer purchases a case of 144 candy bars from the wholesaler, she will save $51.84 as a result of the price reduction.
Re: Candy bars percentage [#permalink]
09 Aug 2009, 09:19
[quote="crejoc"]A candy wholesaler needs to quickly sell some candy bars that are nearing their expiration date, so he reduced the price of the candy bars. By what percent did he reduce the price of the candy bars?
(1) The price of a candy bar was reduced by 36 cents.
(2) If a candy retailer purchases a case of 144 candy bars from the wholesaler, she will save $51.84 as a result of the price reduction.
to me it is more of SC + CR( the Vs.a)
from 1
only one candy bar reduction is mentioned and nothing is said in the stem that reduction is the same for all candy bars OR EVEN OF ALL THE BARS ARE THE SAME.(we dont know if this one is represetative for the whole patch)
from 2 we can never know the percent reduction untill we know the original price
A candy wholesaler needs to quickly sell some candy bars that are nearing their expiration date, so he reduced the price of the candy bars. By what percent did he reduce the price of the candy bars?
(1) The price of a candy bar was reduced by 36 cents.
(2) If a candy retailer purchases a case of 144 candy bars from the wholesaler, she will save $51.84 as a result of the price reduction.
A - let the original price be $1, then % price reduction = (-36)/100 = -36% but if the original price is $2, then % price reduction = (200-36-200)/200 = -18%
so insufficient.
B - 144 candidate bars - saving %51.84 so 1 candidate bar saving = 51.84/144 = $0.36.. which is same as 1... so insufficient.
together both the statements are not going to bring any thing different.
Re: Candy bars percentage [#permalink]
19 Aug 2011, 05:14
To some degree I agree with answer c, statement 1 is insufficient, statement 2 alone insufficient but statement 2 tells us that he saves 36 cents per candy bar when buying wholesale. Both combined he reduces by 100 % since 36/36.
To some degree I agree with answer c, statement 1 is insufficient, statement 2 alone insufficient but statement 2 tells us that he saves 36 cents per candy bar when buying wholesale. Both combined he reduces by 100 % since 36/36.
Statement 1 and 2 basically say the same thing. Stmt 1 says - the price of ONE candy bar is reduced by 36 cents . Stmt 2 in disguise , also says the same ( gives the same info that price of one candy is reduced by 36 cents).
But To calculate the percent reduction in the price of the any commodity , you need the original price of the commodity. If original price of a candy , or new reduced price were given then either of the statements would have sufficed.
Let X be the original price and Y be the reduced price . Hence % reduction P = (X-Y)/X * 100 . We only know X-Y=0.36 , from Stmt1/Stmt2 , need need value of X or Y to calculate.
Re: A candy wholesaler needs to quickly sell some candy bars [#permalink]
20 Sep 2014, 21:51
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Re: A candy wholesaler needs to quickly sell some candy bars [#permalink]
31 Dec 2015, 11:57
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Re: A candy wholesaler needs to quickly sell some candy bars [#permalink]
31 Dec 2015, 20:04
Expert's post
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
A candy wholesaler needs to quickly sell some candy bars that are nearing their expiration date, so he reduced the price of the candy bars. By what percent did he reduce the price of the candy bars?
(1) The price of a candy bar was reduced by 36 cents. (2) If a candy retailer purchases a case of 144 candy bars from the wholesaler, she will save $51.84 as a result of the price reduction.
There are 3 variables (n: the number of the candy bars sold, p: the original price of the candy bars and r: the reduced price of the candy bars) in the original condition. In order to match the number of variables and the number of equations, we need 3 equations. Since the condition 1) and 2) each has 1 equation, there is high chance E is the answer. Using the both condition 1) and 2), we obtain p-r=0.36 and 144(p-r)=51.84. However, we cannot know the total number of the candy bars purchased. Therefore, the correct answer is E.
For cases where we need 3 more equations, such as original conditions with “3 variables”, or “4 variables and 1 equation”, or “5 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 80% chance that E is the answer (especially about 90% of 2 by 2 questions where there are more than 3 variables), while C has 15% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since E is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously, there may be cases where the answer is A, B, C or D. _________________
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