SOLUTION: The price of a pair of sneakers was $100 for the last 10 months of last year. On January first, the price increased 30%. After the price increase, an employee bought these sneake

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Question 1208925: The price of a pair of sneakers was $100 for the last 10 months of last year. On
January first, the price increased 30%. After the price increase, an employee
bought these sneakers with a 10% employee discount. What price did the employee
pay?

Found 3 solutions by mccravyedwin, Edwin McCravy, greenestamps:
Answer by mccravyedwin(407)   (Show Source): You can put this solution on YOUR website!

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Here's one just like it:

The price of a pair of sneakers was $130 for the last 10 months of last year. On
January first, the price increased 20%. After the price increase, an employee
bought these sneakers with a 11% employee discount. What price did the employee 
>>The price of a pair of sneakers was $130 for the last 10 months of last year.

So at the start the pair of sneakers cost $130.

>>On January first, the price increased 20%. 

20% of $130 is 0.20 x $130 = $26, so it increased to $130+$26 = $156

>>After the price increase, an employee bought these sneakers with a 11% employee discount. 

11% of $156 is 0.11 x $156 = $17.16, so the employee got it $17.16 cheaper than $156,

So the employee paid $156 - $17.16 or $138.84

Now do yours the same way.

Edwin
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Working problems involving successive price increases and decreases using addition for price increases and subtraction for price decreases is slow and inefficient, because you have to do separate calculations to find the price after each increase or decrease.

Working the problems using multiplication, you can account for all the increases and decreases in a single calculation.

In your problem (for example), a price increase of 30% is a multiplication of the price by a factor of 100%+30% = 130%, or 1.3; a price decrease by 10% is a multiplication of the price by a factor of 100%-10% = 90%, or 0.9. Then the final price is the original price, multiplied by 1.3, and then multiplied by 0.9.

(100)(1.3)(0.9) = 100(1.17) = 117

ANSWER: $117
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