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What a Steal of a Deal

 
 
Reply Tue 6 Dec, 2011 01:57 pm
What a steal of a Deal!

Hunter went to TV City to buy a new TV. When he got there, he found that the manager was offering a 25% discount on every TV in the store. The one Hunter wanted was last year's model so he got an additional 10% discount on his purchase. When he got to the cash, he found out he would save even more because the store offered a 5% discount for paying cash. The discounts were applied successivelky, and he paid $371.93 for the TV. What was the original price before any discounts were taken? What was the total percent discount Hunter got?
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Type: Question • Score: 0 • Views: 2,163 • Replies: 4
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fresco
 
  1  
Reply Tue 6 Dec, 2011 03:30 pm
@Lindastanich,
371.93= 60%
Original price=100%= 371.93 x 100/60
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fresco
 
  1  
Reply Tue 6 Dec, 2011 04:04 pm
@Lindastanich,
NB That method takes "successively" to mean "cumulatively" (40% TOTAL)

Alternatively, we might interpret it as 25%+10% of 75% + 5% of 10% 0f 75%
=25+7.5+0.375=32.875 % TOTAL DISCOUNT
giving
original price =371.93x100/67.125
markr
 
  1  
Reply Tue 6 Dec, 2011 04:59 pm
@fresco,
I interpreted it to be:
final price = 95% of 90% of 75% of original price

total discount is 1-(.75 * .90 * .95) = 35.875%

original price is $580
fresco
 
  1  
Reply Wed 7 Dec, 2011 12:58 am
@markr,
I agree with $580. I made an error on the multiplying the discounts.
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