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A manufacturer produced x percent more video cameras in 1994

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A manufacturer produced x percent more video cameras in 1994

by BTGmoderatorLU » Wed Feb 06, 2019 2:57 pm

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Source: GMAT Prep

A manufacturer produced x percent more video cameras in 1994 than in 1993 and y percent more in 1995 than in 1994. If the manufacturer produced 1,000 video cameras in 1993, how many video cameras did the manufacturer produce in 1995?

1) xy = 20.
2) x + y + xy/100 = 9.2.

The OA is B
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Wed Feb 06, 2019 9:55 pm

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BTGmoderatorLU wrote:Source: GMAT Prep

A manufacturer produced x percent more video cameras in 1994 than in 1993 and y percent more in 1995 than in 1994. If the manufacturer produced 1,000 video cameras in 1993, how many video cameras did the manufacturer produce in 1995?

1) xy = 20.
2) x + y + xy/100 = 9.2.

The OA is B
Given: # of video cameras produced in 1993 = 1000

Thus,

# of video cameras produced in 1994 = 1000 + x% of 1000 = 1000(1 + x%) = 1000(1 + x/100);
# of video cameras produced in 1995 = 1000(1 + x/100)(1 + y%) = 1000(1 + x/100)(1 + y/100) = 1000(1 + x/100 + y/100 + xy/10000)
= 1000[1 + 1/100(x + y + xy/100]

We have to get the value of 1000[1 + 1/100(x + y + xy/100].

Clearly, Statement 2 alone is sufficient.

The correct answer: B

Hope this helps!

-Jay
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