An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?
2006-07-17 16:34:43 · 7 answers · asked by MidnightEnigma 2 in Education & Reference ➔ Homework Help
$306 / .85 / .90 = $400
The percentages get multiplied, not added. If you went into a store and something was marked down 50%, and the sign says take another 50% off, it's not free. Sorry kids, $408 is WRONG.
(1-15%) * (1-10%)
2006-07-17 16:38:03 · answer #1 · answered by Anonymous · 2⤊ 0⤋
Amount paid = $306
Cost Price of school sale = 115/100*306=$351.9
its given at 10% discount
:. original Cost Price = 110/100*351.9=$387.09
2006-07-18 00:26:36 · answer #2 · answered by jv 2 · 0⤊ 0⤋
10 % student discount
+15% back to school discount
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25% total discount
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$306 x 25% = $76.50, this is your total discount
$306 + $76.50 = $382.50 total original cost
as for $408 being the total cost...if you check that by working back wards i doesn't work out to be $306...
$408
x10%
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$40.80
take that from the total and you get 367.20.
if you take 15% from that you get $55.08, which would equal $312.12 not $306.
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that is if you take the additional discount separate from adding the two totals together, because if you take a store for example i work in a retail store and when they say theres a 40% discount plus an additional 20% its a total 60% all together, it isn't rang up separately.
2006-07-17 23:45:02 · answer #3 · answered by taceysay02@sbcglobal.net 3 · 0⤊ 0⤋
$408
2006-07-17 23:39:37 · answer #4 · answered by Anonymous · 0⤊ 0⤋
$408
2006-07-17 23:38:46 · answer #5 · answered by Helzabet 6 · 0⤊ 0⤋
Well, multiply 306 by 10%-that's: $30.60
multiply it by 15% - that is $45.90
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which equals $ 76.50
so add 306 and 76.5 and get: $382.50
2006-07-17 23:50:06 · answer #6 · answered by straight_a_blonde 2 · 0⤊ 0⤋
Midnight Enigma,
David W. explained it perfectly.
he deserves 10pts
he walked you through the steps
and gave you the most logical argument
for the most typical mistake when applying
discounts.
Kudos to you David!
2006-07-17 23:44:25 · answer #7 · answered by vim 5 · 0⤊ 0⤋