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# the DVD problem

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### Jenny bought a DVD that was 45% off, the original price was \$12.50, and GST is 5% in her province. What is the final price? (Sorry if this doesn't make ANY sense)

PsychoBaker  Jun 5, 2017
edited by PsychoBaker  Jun 5, 2017
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I'm pretty sure that GST stands for Goods and Services Tax. It's a Canadian tax, so the rest of the world may be unfamiliar with such:

Anyway, let's calculate the amount paid for a DVD. To find it, find how much the discount affected the price of the DVD:

 \(\$12.50*0.45=5.625\) This is how much the discount affected the price. Subtract 5.625 from the original price of the DVD. \(12.50-5.625=\$6.875\) In the context of money, money is always rounded to the nearest hundredth place, so round this number to that decimal. \(\$6.88\)

Okay, now we know what the cost of the DVD is after discount is applied to the price. Now, let's add the discount. Normally, you would multiply 6.88 by 5% and then add it to 6.88, but there is actually a faster method that requires one fewer step: Multiply 6.88*1.05. See how that saves a step? Let's try it together:

 \(\$6.88*1.05=\$7.224\) Yet again, round to the nearest hundredth. \(\$7.22\) You are done! This is your final cost for the DVD.
TheXSquaredFactor  Jun 5, 2017
edited by TheXSquaredFactor  Jun 5, 2017
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X^2: You made a slight error by adding 15% sales tax instead of 5%. So, your final result should be: \$6.88 x 1.05 = \$7.22

Guest Jun 5, 2017