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A certain auto manufacturer sold 3% fewer vehicles in...

This topic has 2 expert replies and 2 member replies

A certain auto manufacturer sold 3% fewer vehicles in...

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A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?

A. 63,000
B. 2,000,000
C. 2,030,000
D. 2,040,000
E. 2,300,000

The OA is D.

Let's assume in 2006 he has sold X. Therefore in 2007, he should have sold 97/100XX.

97/100X2100=2037
-->2,037,000 sold in 2007. When rounded to the nearest 10,000 :

2,040,000. Option D.

Is there another strategic approach to this PS question? Can any experts help, please?

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GMAT/MBA Expert

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Hi AAPL,

We're told that a certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006 and that the manufacturer sold 2.1 million vehicles in 2006. We're asked for the number of vehicles, to the nearest 10,000, that the manufacturer sold in 2007. Since we're given all of the necessary 'numbers' to work with, this question really just comes down to doing the proper calculations.

You might find it helpful to do the math in small 'steps'....
1% of 1,000,000 = 10,000, and....
3% of 1,000,000 = 30,000 and
3% of 2,100,000 = (2.1)(30,000) = 63,000

Thus, the number of cars sold in 2007 would be approximately 2,100,000 - 60,000 = 2,040,000

Final Answer: D

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

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GMAT/MBA Expert

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AAPL wrote:
A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?

A. 63,000
B. 2,000,000
C. 2,030,000
D. 2,040,000
E. 2,300,000
The number of vehicles sold in 2006 is 2.1 x 0.97 = 2.037 million ≈ 2,040,000.

Answer: D

_________________
Jeffrey Miller Head of GMAT Instruction

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Hi AAPL,

Let's assume in 2006 the manufacturer sold X.

In 2007 sold X-3/100(X).

If sales in 2006, X = 2.1 million find X-3/100(X)

(2.1*10^6) - 3 / 100(2.1*10^6)

2100000 - 63000 = 2,037,000 --> 2,040,000 approximately.

Regards!

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3% of 2.1 million = $$\frac{3}{100}\cdot2,100,100=63,000$$
$$Number\ of\ vechicle\ sold\ in\ 2007\ is\ 63,000\ \left(3\%\right)\ fewer\ than\ 2.1million\ vechicles\ sold\ in\ 2006$$
$$Therefore,\ number\ of\ vechicle\ sold\ in\ 2007=\ 2100000-63000=2,037,000$$
$$when\ rounded\ to\ the\ nearest\ 10,000=2040000\ vehicles\ sold\ in\ 2007$$
$$Option\ D\ is\ right$$

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