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A pair of skis originally cost $160. After discount of x

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A pair of skis originally cost $160. After discount of x  [#permalink]

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New post 27 Mar 2013, 07:14
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A pair of skis originally cost $160. After discount of x percent, the skis were discounted y percent. Do the ski cost less than $130 after discount

(1) x = 20.
(2) y = 15.

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Re: A pair of skis originally cost $160. After discount of x  [#permalink]

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New post 27 Mar 2013, 07:34
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A pair of skis originally cost $160. After discount of x percent, the skis were discounted y percent. Do the ski cost less than $130 after discount

(1) x = 20. After the first discount the price was 160*0.8=$128, so already less than $130. Sufficient.

(2) y = 15. If x=0% and y=15%, then the answer is NO but if x=50% and y=15%, then the answer is YES. Not sufficient.

Answer: A.
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Re: A pair of skis originally cost $160. After discount of x  [#permalink]

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New post 13 Jan 2014, 06:44
summer101 wrote:
A pair of skis originally cost $160. After discount of x percent, the skis were discounted y percent. Do the ski cost less than $130 after discount

(1) x = 20.
(2) y = 15.


This is a typical C trap here that one must avoid. I guess the problem would have been tougher if they gave 'y' first
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Re: A pair of skis originally cost $160. After discount of x  [#permalink]

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New post 03 Sep 2018, 21:59
The answer is A

S1: X=20
SO 20%160=32
so cost after 20% discount is 128. for any value of y, C<130.
sufficient
S2: Y=15
15%160=24
so cost after 15% discount is 134.
now we should not straight away jump to conclusions, as we are not given the value of x (successive discounts). so for some value of x it either has to be or not be less than 130.
insufficient

Answer: A
Re: A pair of skis originally cost $160. After discount of x &nbs [#permalink] 03 Sep 2018, 21:59
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