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# The price of a pair of earrings is x percent more than the price...

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Intern
Joined: 11 Oct 2017
Posts: 22
The price of a pair of earrings is x percent more than the price... [#permalink]

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30 Oct 2017, 16:19
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Difficulty:

55% (hard)

Question Stats:

52% (01:28) correct 48% (01:29) wrong based on 29 sessions

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The price of a pair of earrings is x percent more than the price of a bracelet, and the price of a necklace is y percent less than the price of the earrings. Is the price of the bracelet less than the price of the necklace?

(1)$$\frac{xy}{100}$$ < x-y
(2) x-y > 0

Intern
Joined: 05 Aug 2017
Posts: 30
Location: Viet Nam
Annie: Nguyen
GPA: 3.33
WE: Supply Chain Management (Transportation)
The price of a pair of earrings is x percent more than the price... [#permalink]

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30 Oct 2017, 18:57
P(E)= (100+x)%. P(B)
P(N)= (100-y)%.P(E)
P(B)< P(N) <-> P(E)/(100+x)% < (100-y)%.P(E) -> 100(x-y)-xy <0 -> xy/100 > x-y

(1) -> Absolutely suff
(2) -> Insuff
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The price of a pair of earrings is x percent more than the price...   [#permalink] 30 Oct 2017, 18:57
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