Free GMAT Practice Question

Question 1 of 1
ID: GMAT-PS-026
Section: Quantitative Reasoning - Problem Solving (PS)
Topic: Fraction
Difficulty level: Medium

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This month, a factory will produce a certain number of articles, a part of which will be sold. Next month the factory will produce only half the number of articles produced this month, but for each article that is unsold this month, $k$ articles will be sold next month. Ignoring the production and sales of articles in all months prior to this month, in terms of $k$, what fraction of the number of articles produced this month should be sold this month so that the cumulative number of articles remaining unsold next month would be equal to $\frac{1}{3}$ the number of articles sold this month?

A$\dfrac{4\left(2-k\right)}{3\left(1-k\right)}$

B$\dfrac{2\left(4-2k\right)}{3\left(2-3k\right)}$

C$\dfrac{3\left(4-3k\right)}{2\left(3-2k\right)}$

D$\dfrac{\left(3-2k\right)}{\left(4-3k\right)}$

E$\dfrac{3\left(3-2k\right)}{2\left(4-3k\right)}$

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