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# Twenty percent of all the sheets of paper in the tray of Printer A are

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Re: Twenty percent of all the sheets of paper in the tray of Printer A are [#permalink]
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Bunuel wrote:
Twenty percent of all the sheets of paper in the tray of Printer A are removed and transferred to the tray of Printer B. After the transfer, are there more sheets of paper in the tray of Printer B than in the tray of Printer A?

(1) The transfer increases the number of sheets of paper in the tray of Printer B by more than 25 percent.
(2) The transfer increases the number of sheets of paper in the tray of Printer B by less than 30 percent.

Let Printer A have x papers and Printer B has y papers

After the transfer -

Printer A will have $$\frac{4x}{5}$$;
Printer B will have $$y + \frac{x}{5}$$

Question :- Is $$y + \frac{x}{5}$$ > $$\frac{4x}{5}$$

i.e. is $$y > \frac{3x}{5}$$

i) $$y+\frac{x}{5} > (1+\frac{1}{4})y$$ => $$y < \frac{4x}{5}$$

Insufficient as y can be greater or lesser than $$\frac{3x}{5}$$

ii) $$y+\frac{x}{5} < (1+\frac{3}{10})y$$ => $$y > \frac{2x}{3}$$

$$\frac{2x}{3} > \frac{3x}{5}$$ Hence Sufficient

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Re: Twenty percent of all the sheets of paper in the tray of Printer A are [#permalink]
After the transfer -

A - 0.2A

B + 0.2A

B+0.2A > A-0.2A ?

B > 0.6A ?

1. B+0.2A>1.25B

0.25B < 0.2A

B < 0.8A

Not sufficient

2.

B + 0.2A < 1.3B

0.3B > 0.2A

0.9B > 0.6A

Sufficient

B
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Re: Twenty percent of all the sheets of paper in the tray of Printer A are [#permalink]
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Re: Twenty percent of all the sheets of paper in the tray of Printer A are [#permalink]
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