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the price Nina paid was X

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Topic: the price Nina paid was X
PostThu Jul 29, 2010 6:03 am
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The retail price of a certain refrigerator was Z dollars. Nina was given a further 10 percent discount on the already discounted sale price (Y) of this refrigerator. Given that the price Nina paid was X dollars, what was the dollar value of the extra 10 percent discount that she obtained?

1. The sale price, Y, was 90 percent of the normal retail price, Z.
2. If the sale price, Y, had been 20 dollars more, then X would have been $14 less than this new value of Y.

Source: majortests.com
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PostThu Jul 29, 2010 6:49 am
SP=Y

Money Paid=X

X=y-Discount

Discount=10/100*Y

Y=?

stmt1,

Y=90/100*Z

No info about Y or Z

Insuff

stmt2,

(Y+20)-14=X

Y-6=X

No info about X or Y

Insuff

combining 1 and 2,

Still we dont know value of Y.

Pick E

Please correct me if I am wrong.
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PostThu Jul 29, 2010 6:58 am
Here's my take: E.

OA?

z = retail price
y = discount price
x = y - .1y (the additional 10% discount)

SOLVE FOR .1y.

1) y = .9z
Insuf because we have no info about dollar amounts.

2) y + 20 = x - 14
Insuf because we can't solve for any static dollar amounts. y could be 80 and x could be 114. etc.

Combined? We still have no info about the retail price, the discount price, or the deep discount price that Nina paid.

IMO, Answer: E.
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PostThu Jul 29, 2010 7:19 am
OA E
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