In 2008, a certain factory produced 25% more widgets than

[AAPL]

In 2008, a certain factory produced 25% more widgets than it did in 2007. In 2009 the company's production of widgets was 120% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?

A. 33%
B. 45%
C. 50%
D. 64%
E. 67%

The OA is A.

I solved this PS question as follows,

Let's consider, production in 2007 = 100
In 2008 = 1.25*100 = 125
In 2009 = 1.2*125 = 150 (It say 120% times of 2008 production, not increased by 120%)

So percent difference to match with 2007 production
= (150 - 100)/150
= 33% (Approx.). Option A.

Has anyone another approach to solve this PS question? Regards!

[Jay@ManhattanReview]

In 2008, a certain factory produced 25% more widgets than it did in 2007. In 2009 the company's production of widgets was 120% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?

A. 33%
B. 45%
C. 50%
D. 64%
E. 67%

The OA is A.

I solved this PS question as follows,

Let's consider, production in 2007 = 100
In 2008 = 1.25*100 = 125
In 2009 = 1.2*125 = 150 (It say 120% times of 2008 production, not increased by 120%)

So percent difference to match with 2007 production
= (150 - 100)/150
= 33% (Approx.). Option A.

Has anyone another approach to solve this PS question? Regards!

You have applied and efficient approach. Though it can also be solved assume the production in 2007 = x, but that is not really needed. Since everything is given in percents, it is wise to deal in 100s.Hope this helps!

-Jay
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[Jeff@TargetTestPrep]

In 2008, a certain factory produced 25% more widgets than it did in 2007. In 2009 the company's production of widgets was 120% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?

A. 33%
B. 45%
C. 50%
D. 64%
E. 67%

We can let the number of widgets produced in 2007 be 100. Thus the number of widgets produced in 2008 is 100 x 1.25 = 125, and the number of widgets produced in 2009 is 125 x 1.2 = 150. To bring 150 back to 100, we need to decrease the production by:

(150 - 100)/150 x 100 = 50/150 x 100 = 1/3 x 100 = 33 1/3 percent

Answer: A