Jim is able to sell a hand-carved statue for $670 which was

Question

Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?

A. $496.30 
B. $512.40 
C. $555.40 
D. $574.90 
E. $588.20

mikemcgarry · Answer

I'm happy to help with this. :-)

First, I'll point out, we really need a calculator for this question, so in that sense, it's not realistic as a GMAT PS problem. The GMAT is always good about giving PS problems in which there is some elegant non-calculator approach. A tricky thing about this problem is ---- we can't simply figure out 35% of this final amount $670. In other words, going down 35% from $670 will not bring us back to the same starting point X, even though increasing 35% from X brings us to $670. This is, in many ways, one of the most fundamental math misconceptions, and the GMAT absolutely loves to exploit it. Increasing by any percent P, and decreasing by the same percent, NEVER bring you back to the same place . For more on this, see this blog: https://magoosh.com/gmat/2012/understand ... -the-gmat/ That blog also discusses using multipliers for percent increases & decreases, which is by far the most elegant way to handle them. Here, we start with some X that we would like to find. We increase this X by 35%. As a decimal, that's 0.35, and we add 1 to this decimal to create the multiplier for a 35% increase. This multiplier is 1.35. We know 35% more than X is $670. In other words: 670 = 1.35*X X = 670/1.35 = 496.2962962963... which rounds to $496.30, which is (A). Does all this make sense? Mike :-)

actleader · Answer

In this case I suppose we can do the following
the statue was sold at the price P - $670
the COGS (cost of goods) = 100%
the sell price = 135%

another words    = 496.|2962|

nevertheless Mike right with the assumption about this problem.

Also Mike thanx for Magoosh ))
It is just few days past as I become premium subscriber.
Great explanations
I've started with dividing by 5 and have already won my girl-friend in mini-contest)))
I was equiped with a technique compared with she who has just an upper quantitative abilities.

thesilverlining · Answer

I did this...

670 is the final price that is the selling price. now suppose, x is the cost price.
therefore 670 = 1.35 * x 
now while doing x = 670/1.35 calculation. I saw that the answer choices begin with 5. 
So i did 135 * 5 = 675. As 670 is less than 675. Therefore the quotient will be less than 5.
Which is only in the answer A.

EMPOWERgmatRichC · Answer

Hi All,

This question can actually be solved by TESTing THE ANSWERS and AVOIDING most of the work entirely. Here's how:

We're told that the final price of a statue was $670, and this represented a 35% increase over the COST of the statue. We asked for the original COST of the statue. While the answer choices all "look crazy", they ARE numbers, so one of them MUST be the original cost of the statue.

Since raising the cost of the statue will raise the final price of the statue, we should be able to figure out when we're "too high" or "too low", so just need to "narrow down" the possibilities.

Considering the "spread" of the answer choices, the easiest number that we can use for comparison purposes is $500

IF....
The cost was $500...
Then 35%(500) = $175....
So the final price would be 500 + 175 = $675
This final cost is TOO HIGH, which means $500 is TOO HIGH.

There's only one answer left that would decrease the final price....

Final Answer:  A

GMAT assassins aren't born, they're made,
Rich

colleendeborah · Answer

THANK YOU!!!! Believe it or not, I am studying for the FTCE (Florida Teacher Certification Exam) to teach K-5th grade. THIS is one of the 60 questions on the 2017 Math test. It's a timed test and I need to be able to fly through this quickly. I LOVE your technique.

bumpbot · Answer

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Jim is able to sell a hand-carved statue for $670 which was

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