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Jim and Nancy each provide the same service at a different original pr

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SVP
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Status: Preparing for the GMAT
Joined: 02 Nov 2016
Posts: 1533
Location: Pakistan
GPA: 3.39
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Jim and Nancy each provide the same service at a different original pr [#permalink]

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New post 12 Mar 2017, 12:56
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A
B
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Difficulty:

  35% (medium)

Question Stats:

76% (00:36) correct 24% (00:24) wrong based on 21 sessions

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Jim and Nancy each provide the same service at a different original price. If both Jim and Nancy discount their original price, is Nancy’s discount price less than Jim’s discount price?

(1) Jim’s discount price is 20 percent less than his original price and Nancy’s discount price is 30 percent less than her original price.
(2) Jim’s discount price is $10 less than his original price and Nancy’s discount price is $12 less than her original price.

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Re: Jim and Nancy each provide the same service at a different original pr [#permalink]

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New post 14 Mar 2017, 18:35
1
Let Jim's service cost x and Nancy's service cost y. Both these amounts are discounted to an extent. The question is asking if the discount amount of y < discount amount of x.

I guess the might be confusion with what the question is asking for. Please note its not "discounted" price, but the discount price.

Unless we know what the actual values of x and y are, we cannot conclude if discount(y)<discount(x)

Option 1 - indicates that
discount(x) = 8x/10
discount(y) = 7y/10
This gives us no clue to x and y, hence not enough.

Option 2 -
8x/10 + 10 = x
Implies, x = 50. But you don't actually need to solve this. Just the confirmation that one can derive x from the above equation is enough.
Similarly, for Nancy we have
7y/10 + 12 = y.

From these two equations, we can find x and y. Hence finding out if 3y<2x is also possible.

Answer - option B

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Re: Jim and Nancy each provide the same service at a different original pr [#permalink]

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New post 15 Mar 2017, 02:20
1
let the original price be x and y respectively and the discount given be a and b

to find the answer we need:
1#exact values for x,y,a and b
2#four equation in these four variables

St 1:x-0.2x = a and y-0.3y = b. two equation, four variable. INSUFFICIENT
St 2: x-a = 10 and y-b =12. two equation, four variable. INSUFFICIENT

St 1 & St 2: four variable, four equations. SUFFICIENT

Option C
Re: Jim and Nancy each provide the same service at a different original pr   [#permalink] 15 Mar 2017, 02:20
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Jim and Nancy each provide the same service at a different original pr

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