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The products of a certain company rose by 10% in 2008 and 12% in 2009, and went down 4% in 2010. What is the percentage of variation in prices in those three years?

((I'm copying this from my textbook and what is this even a type of math question help plEASE))

 Nov 13, 2014

Best Answer 

 #1
avatar+23254 
+5

To increase something by 10%, you can multiply by 1.10 (The 1 give you back the original amount, the .10 give the extra 10%).

To increase something by 12%, you can multiply by 1.12 (The 1 give you back the original amoun,t the .12 give the extra 12%).

To decrease something by 4%, you can multiply by 0.96 (0.96 = 1.00 - 0.04; the 1 gives you back the original amount, the -0.04 decreases that amount by 4%).

Let's say that the original amount was $100.00.

After a 10% increase:  $100.00 x 1.10  =  $110.00.

Starting with $110.00, after a 12% increase:  $110.00 x 1.12  =  $123.20.

After a 4% decrease:  $123.20 x 0.96  =  $118.272.

I don't understand the phrase "percentage of variation in prices in those three years"; could it mean that they are looking for the final percent of variation after three years? If so, it would be 18.272%. (And that's why I started with $100.00.)

 Nov 13, 2014
 #1
avatar+23254 
+5
Best Answer

To increase something by 10%, you can multiply by 1.10 (The 1 give you back the original amount, the .10 give the extra 10%).

To increase something by 12%, you can multiply by 1.12 (The 1 give you back the original amoun,t the .12 give the extra 12%).

To decrease something by 4%, you can multiply by 0.96 (0.96 = 1.00 - 0.04; the 1 gives you back the original amount, the -0.04 decreases that amount by 4%).

Let's say that the original amount was $100.00.

After a 10% increase:  $100.00 x 1.10  =  $110.00.

Starting with $110.00, after a 12% increase:  $110.00 x 1.12  =  $123.20.

After a 4% decrease:  $123.20 x 0.96  =  $118.272.

I don't understand the phrase "percentage of variation in prices in those three years"; could it mean that they are looking for the final percent of variation after three years? If so, it would be 18.272%. (And that's why I started with $100.00.)

geno3141 Nov 13, 2014

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