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# Henry purchased 3 items during a sale. He received a 20%

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Senior Manager
Joined: 19 Mar 2008
Posts: 350
Henry purchased 3 items during a sale. He received a 20% [#permalink]

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02 Aug 2008, 23:29
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Henry purchased 3 items during a sale. He received a 20% discount off the regular price of the most expensive item and a 10% discount off the regular price on each of the other 2 items. Was the total amount of the 3 discounts greater than 15% of the sum of the regular price of the 3 items?

(1) the regular price of the most expensive item was \$50 and that of the the next expensive item is 20.

(2) the regular price of the least expensive item is 15
VP
Joined: 30 Jun 2008
Posts: 1019
Re: DS discount for 3 products. [#permalink]

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06 Sep 2008, 23:48
Even i thought it was C
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Senior Manager
Joined: 19 Mar 2008
Posts: 350
Re: DS discount for 3 products. [#permalink]

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07 Sep 2008, 03:41
Here is the solution:

A - original price of Most Expensive item, got 20% discount
B - original price of 2nd expensive, got 10% discount
C - original price of least expensive, got 10% discount

From (1):
A = 50
B = 20
C can be anything from 0.00000001 (assume 0) to 20

So discount on:
A = 50 x 0.2 = 10
B = 20 x 0.1 = 2
C = (0 to 20) x 0.1 = 0 to 2

Let's try the extreme case, when C = 0,
Total discount = (10+2+0)/70 > 15%

When C = 20,
Total discount = (10+2+2)/90 > 15%

so, Ans is (A)
Intern
Joined: 15 Aug 2008
Posts: 3
Re: DS discount for 3 products. [#permalink]

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07 Sep 2008, 04:54
Good job judokan!!!
after ur explaination its clear the answer is a.
keep goin,
Re: DS discount for 3 products.   [#permalink] 07 Sep 2008, 04:54
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