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the price Nina paid was X

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the price Nina paid was X

by sanju09 » Thu Jul 29, 2010 5:03 am
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.

[spoiler]Source: majortests.com[/spoiler]
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by selango » Thu Jul 29, 2010 5:49 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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by aleph777 » Thu Jul 29, 2010 5:58 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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by sanju09 » Thu Jul 29, 2010 6:19 am
OA E
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by lordwells » Tue Feb 08, 2011 9:54 am
Please help me!...I think that right answer is B and I cannot understand the OA.

It is quite obvious that Sentence 1 is not sufficient since it doesn't provide us with exact figures.

Differently I have my problems in understanding why Sentence 2 is not sufficient.

It seems to me that we have an important information: independently from Y the price paid by Nina, X, is the 90% percent of Y (since the second discount is expressed in percentage).
So in my opinion we can write:
Y+20$=Y* where Y* is our "new" Y
X=Y*-14$
and since we know that X is the result of a 10% disocunt on Y (or, in this case, Y*, since isn't stated anywhere that if the price of the refrigerator changes, the discount that is further practised by the retailer has to change too):
X=0.9(Y+20)=0.9Y*
and so on:
Y*=140, Y=120 and the dollar value of the extra 10 percent discount that she obtained was 12.
Am I right?
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by Night reader » Tue Feb 08, 2011 11:31 am
it's no benefit problem :( Z dollars in the question could mean answer in Z dollars too, but OA is E (it could be A)

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 (0.9Y). Given that the price Nina paid was X dollars (0.9Y=X), what was the dollar value of the extra 10 percent discount that she obtained (Y-X in dollars ($Z))?

1. The sale price, Y, was 90 percent of the normal retail price, Z.
Y=0.9Z <-- IOM Sufficient since problem states Z dollars, hence Z is dollar value :( but OA rejects its question data

2. If the sale price, Y, had been 20 dollars more, then X would have been $14 less than this new value of Y.
CORRECTED --> Y+20=X+14 <-- Now if we take the previous equation 0.9Y=X and solve st(2) we have Y=X-6 and 9(X-6)=10X, X=-54 negative number Not Sufficient, as Nina can't pay -54 dollars


@lordwells: in your solution you had complicated the task with introduction of the third variable and confused the calc.
lordwells wrote:Please help me!...I think that right answer is B and I cannot understand the OA.

It is quite obvious that Sentence 1 is not sufficient since it doesn't provide us with exact figures.

Differently I have my problems in understanding why Sentence 2 is not sufficient.

It seems to me that we have an important information: independently from Y the price paid by Nina, X, is the 90% percent of Y (since the second discount is expressed in percentage).
So in my opinion we can write:
Y+20$=Y* where Y* is our "new" Y
X=Y*-14$
and since we know that X is the result of a 10% disocunt on Y (or, in this case, Y*, since isn't stated anywhere that if the price of the refrigerator changes, the discount that is further practised by the retailer has to change too):
X=0.9(Y+20)=0.9Y*
and so on:
Y*=140, Y=120 and the dollar value of the extra 10 percent discount that she obtained was 12.
Am I right?
Last edited by Night reader on Tue Feb 08, 2011 1:05 pm, edited 1 time in total.
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by vaflaly » Tue Feb 08, 2011 12:47 pm
@Night reader,

I believe you did a mistake with your equation (Y+20=X-14) in the stm2.
Actually, it is (Y+20)-14=X;
Knowing that,lordwells is wright and the amount is $12;
thus answer should be B
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by Night reader » Tue Feb 08, 2011 1:09 pm
Oh yea, I've just looked up in my notebook the statement (2) - it's the copy mistake :)

Corrected above and put the answer E, as it is negative = -54 Dollars, sorry y+20=x+14 translates into y=x-6 and 0.9y=x makes pros/cons --> 9(x-6)=10x, x=-54
vaflaly wrote:@Night reader,

I believe you did a mistake with your equation (Y+20=X-14) in the stm2.
Actually, it is (Y+20)-14=X;
Knowing that,lordwells is wright and the amount is $12;
thus answer should be B
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by sanju09 » Tue Feb 08, 2011 11:04 pm
May I interrupt?

MRP = $Z

Discounted price = $Y

Nina paid = $0.9 Y = $X

$0.1 Y = $X/9 =?

[1] Y = 0.9 Z, we're still missing a relation in X and Z to answer X or Y uniquely. Insufficient

[2] When the new value of Y is Y + 20, X = Y + 20 - 14 = Y + 6; now this is ambiguous to me, how can 90 percent of Y be more than Y, specially when we're dealing in positive numbers only?
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by prachich1987 » Wed Feb 09, 2011 3:10 am
sanju09 wrote:May I interrupt?

MRP = $Z

Discounted price = $Y

Nina paid = $0.9 Y = $X

$0.1 Y = $X/9 =?

[1] Y = 0.9 Z, we're still missing a relation in X and Z to answer X or Y uniquely. Insufficient

[2] When the new value of Y is Y + 20, X = Y + 20 - 14 = Y + 6; now this is ambiguous to me, how can 90 percent of Y be more than Y, specially when we're dealing in positive numbers only?
--- I have a difficulty in understanding this.We are nowhere told that 90% of Y is more than Y.
But the new equation will become
(Y+20)*0.9=Y+6
0.9Y+18=Y+6
0.1 Y = 12---- This is what we were asked to find out.
Hence statement 2 is sufficient.
Please advise if I am going wrong anywhere
Thanks!
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by sanju09 » Wed Feb 09, 2011 3:22 am
prachich1987 wrote:
sanju09 wrote:May I interrupt?

MRP = $Z

Discounted price = $Y

Nina paid = $0.9 Y = $X

$0.1 Y = $X/9 =?

[1] Y = 0.9 Z, we're still missing a relation in X and Z to answer X or Y uniquely. Insufficient

[2] When the new value of Y is Y + 20, X = Y + 20 - 14 = Y + 6; now this is ambiguous to me, how can 90 percent of Y be more than Y, specially when we're dealing in positive numbers only?
--- I have a difficulty in understanding this.We are nowhere told that 90% of Y is more than Y.
But the new equation will become
(Y+20)*0.9=Y+6
0.9Y+18=Y+6
0.1 Y = 12---- This is what we were asked to find out.
Hence statement 2 is sufficient.
Please advise if I am going wrong anywhere
yeah right! We are nowhere told that 90% of Y is more than Y. But according to st 2, if it's so then X = Y + 20 - 14 = Y + 6, but X is already given to be 90 percent of Y, and this means that 90 percent of Y be more than Y.
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by prachich1987 » Wed Feb 09, 2011 3:50 am
I think this problem is flawed
GMAT will never use such ambiguous wording
Thanks!
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by Night reader » Wed Feb 09, 2011 4:27 am
Hi Prachi, don't buy on benchmark-gmat, majortest, platinum-gmats and many other pro-blas :) we are safe then
prachich1987 wrote:I think this problem is flawed
GMAT will never use such ambiguous wording
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by cyrwr1 » Wed Feb 09, 2011 3:24 pm
I'm saying B

with 1) you have
Z
Y
X = .9Y---> insuff

with 2) you have
if y+20 ---> y* the new Y

then the new x*+14=y*

X*= 0.9(Y+20)= 0.9Y*

Y*=140 when X*=126

and the original X and Y would be 108 and 120; respectively.

Thus her discount was 12, B is my answer.
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by earnest10 » Fri Feb 11, 2011 10:26 am
sanju09 wrote: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.

[spoiler]Source: majortests.com[/spoiler]
From the question ....
X = 0.9Y

Stmt 1
Y =0.9Z ; X = 0.81Z .
Discount = Y - X = 0.09Z
Value of Z is unknown , so INSUFF

Stmt 2
new Y** will be Y+20; so X = (Y+20) - 14 = 0.9Y
Y +6 = 0.9Y ..... Impossible INSUFF

1&2
value of Y & Z is unknown......insuff.

I will choose E
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