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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

Answer - B
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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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