Asad wrote:
Asad wrote:
A used-book seller purchased 50 copies of a book for a total of \(m\) euros. She then sold each book for 25 percent more than her original per-book purchase price. In terms of \(m\), for how many euros did sell each book?
A) \(\frac{m}{4}\)
B) \(\frac{5m}{4}\)
C) \(\frac{m}{40}\)
D) \(125m\)
E) \(\frac{125}{2m}\)
Hello Experts,
EMPOWERgmatRichC,
VeritasKarishma,
IanStewart,
Bunuel,
chetan2u,
ArvindCrackVerbal,
GMATinsight,
GMATGuruNY,
Could you help me to cross out wrong choices with
logically other than algebraic method?
Thanks__
Hello Asad,
Depending on one strategy to solve a question is akin to depending on a revolver to win you a gun fight. It may win you some battles but not all. Learn to apply a combination of strategies in a question rather than stereotyping them into silos.
Also, remember that there is no magic sauce to decide which strategy to apply in which question. This has to happen based on your practice and on your sense of judgement.
Since the total money spent was m, m has to come in the numerator. Therefore, options having m in the denominator are wrong. Option E can be eliminated.
Since each book is being sold for 25% more, the cost of each book has to be multiplied with 1.25. Therefore, option D doesn’t make any sense in the scheme of things and can be eliminated.
Beyond this stage, it’s pointless to invest time on finding out a logic based on which you want to eliminate options. You’re better off investing time in solving the question using Algebra. Plugging in for m may be another strategy that you wan’t to employ at this stage.
If m = 500, each book costed 10 euros. Adding a profit of 25%, each book was sold for 12.5 euros. Plug in 500 in each of the remaining options and see which one gives you 12.5.
Answer option A is \(m/4\) which is 125. Eliminate.
Answer option B is \(\frac{5m}{4}\) which is 625. Eliminate.
Answer option C is \(\frac{m}{40}\) which is 12.5. This is the correct answer.
Hope that helps!