Let the population of the city be

P.

No of people who purchase newspapers is

8x (7x + x)No of people who don't purchase newspapers is

P-8xRequired percentage \(\frac{x}{P}*100\)

Statement 1) Twenty-seven percent of the population purchases neither newspaper X nor newspaper Y.

0.27P = P-8x

8x = 0.63P

\(x = \frac{0.63P}{8}\)

Required percentage: \(\frac{x}{P}*100\) = \(\frac{0.63P}{8P}*100\)

\(\frac{63}{8}\)%

SUFFICIENT

Statement 2) Seventy percent of the people who purchase newspaper Y also purchase newspaper X.

Only newspaper X = 6.3x

Only newspaper Y = 0.3x

Both = 0.7x

INSUFFICIENT to get the required percentage.

OPTION:

A
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Regards,

Chaitanya

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