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

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SVP
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 2032
Location: Pakistan
GPA: 3.39
Jim and Nancy each provide the same service at a different original pr  [#permalink]

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12 Mar 2017, 11:56
1
00:00

Difficulty:

35% (medium)

Question Stats:

82% (01:05) correct 18% (00:43) 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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Intern
Joined: 23 Jun 2015
Posts: 7
Re: Jim and Nancy each provide the same service at a different original pr  [#permalink]

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14 Mar 2017, 17:35
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.

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Director
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 533
Location: India
Re: Jim and Nancy each provide the same service at a different original pr  [#permalink]

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15 Mar 2017, 01:20
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
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Re: Jim and Nancy each provide the same service at a different original pr &nbs [#permalink] 15 Mar 2017, 01:20
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