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udaymathapati
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Mr Tolstoy bought 100 CDs at $x and sold them at $y. Did Mr 31 Oct 2010, 06:19
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B
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35% (medium)

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68% (01:44) correct 32% (01:56) wrong based on 160 sessions

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Mr Tolstoy bought 100 CDs at $x and sold them at $y. Did Mr Tolstoy profit from the deal?

(1) 40% of x > 30% of y
(2) 30% of x > 40% of y
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B
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soumanag
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Mr Tolstoy bought 100 CDs at $x and sold them at $y. Did Mr 31 Oct 2010, 08:41
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Stmt 1 : .4X > .3 Y => X > (0.3/0.4)Y => X > .75 Y.
We can not conclude whether X>Y from this.
Consider X=Y=100 => no profit
Again if X = 200 & Y = 100 then there is a profit and the condition is satisfied.

Statement 1 insufficient.

Stmt 2 : .3X > .4Y => X > 1.33 Y, This clearly shows X > Y and shows that there is a profit.

Statement 2 sufficient.

Answer B.
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Mr Tolstoy bought 100 CDs at $x and sold them at $y. Did Mr 31 Oct 2010, 08:49
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udaymathapati
Mr Tolstoy bought 100 CDs at $x and sold them at $y. Did Mr Tolstoy profit from the deal?
1. 40% of x > 30% of y
2. 30% of x > 40% of y

Request bunuel to explain with detail. I am finding it difficult to decipher the explaination given belw.

stmt1> we get, x>0.75. Thus, x=0.8y>0.75y, which case y>x and Mr Tolstoy made a profit or x=2y >0.75y, in which case, he did not make profit. Thus we can't conclude whether he made a profit or not.
Show more

Question asks is \(100y>100x\)? or is \(y>x\)? or is \(\frac{y}{x}>1\)?

(1) \(0.4x>0.3y\) --> \(\frac{y}{x}<\frac{4}{3}={1\frac{1}{3}}\). So we can not be sure whether \(\frac{y}{x}>1\). Not sufficient.

(2) \(0.3x>0.4y\) --> \(\frac{y}{x}<\frac{3}{4}<1\). So the answer to the question "is \(\frac{y}{x}>1\)" is NO. Sufficient.

Answer: B.

Hope it's clear.
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Mr Tolstoy bought 100 CDs at $x and sold them at $y. Did Mr 05 Dec 2010, 08:20
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Bunuel
udaymathapati
Mr Tolstoy bought 100 CDs at $x and sold them at $y. Did Mr Tolstoy profit from the deal?
1. 40% of x > 30% of y
2. 30% of x > 40% of y

Request bunuel to explain with detail. I am finding it difficult to decipher the explaination given belw.

stmt1> we get, x>0.75. Thus, x=0.8y>0.75y, which case y>x and Mr Tolstoy made a profit or x=2y >0.75y, in which case, he did not make profit. Thus we can't conclude whether he made a profit or not.

Question asks is \(100y>100x\)? or is \(y>x\)? or is \(\frac{y}{x}>1\)?

(1) \(0.4x>0.3y\) --> \(\frac{y}{x}<\frac{4}{3}\). So we can not be sure whether \(\frac{y}{x}>1\). Not sufficient.

(2) \(0.3x>0.4y\) --> \(\frac{y}{x}<\frac{3}{4}<1\). So the answer to the question "is \(\frac{y}{x}>1\)" is NO. Sufficient.

Answer: B.

Hope it's clear.
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Can we plug in numbers ..I find that easy and less confusing ..If you can explain by plugging in numbers it will be helpful ...
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Mr Tolstoy bought 100 CDs at $x and sold them at $y. Did Mr 06 Dec 2010, 03:46
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rite2deepti
Bunuel
udaymathapati
Mr Tolstoy bought 100 CDs at $x and sold them at $y. Did Mr Tolstoy profit from the deal?
1. 40% of x > 30% of y
2. 30% of x > 40% of y

Request bunuel to explain with detail. I am finding it difficult to decipher the explaination given belw.

stmt1> we get, x>0.75. Thus, x=0.8y>0.75y, which case y>x and Mr Tolstoy made a profit or x=2y >0.75y, in which case, he did not make profit. Thus we can't conclude whether he made a profit or not.

Question asks is \(100y>100x\)? or is \(y>x\)? or is \(\frac{y}{x}>1\)?

(1) \(0.4x>0.3y\) --> \(\frac{y}{x}<\frac{4}{3}\). So we can not be sure whether \(\frac{y}{x}>1\). Not sufficient.

(2) \(0.3x>0.4y\) --> \(\frac{y}{x}<\frac{3}{4}<1\). So the answer to the question "is \(\frac{y}{x}>1\)" is NO. Sufficient.

Answer: B.

Hope it's clear.

Can we plug in numbers ..I find that easy and less confusing ..If you can explain by plugging in numbers it will be helpful ...
Show more

Deepti ,

I would like to suggest u in this regard,

GMAT testmakers never expect the testtakers to plug in the #s and find out the answer. They prepare the questions in such a way that finding the answer for them by using the logic would be much more easier and effective than by plugging-in the #s.

TRY TO FIND THE TESTMAKER'S (QUESTION MAKER'S) LOGIC BEHIND THE QUESTION. ---As Bunuel did. This comes with the practice.

Anybody can correct me if i am wrong.

To the original question:

Question asks is x>y (loss) or y>x (Profit)
stmnt1: 4x>3y ==> x/y > 3/4 (Note that x and y must be +ve #s as these are selling/buying prices, and hence can safely be corssmultiplied)
==> hence x/y may/may not be > 1 (i.e 4/4) NOT SUFF.

stmnt2: 3x>4y ==> x/y > 4/3 ==> x/y shud be > 1 (i.e. 3/3) ==> x SHUD be > y ==> he got a "loss"
SUFF.

ANSWER "B".

Regards,
Murali.
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Mr Tolstoy bought 100 CDs at $x and sold them at $y. Did Mr 06 Dec 2010, 21:26
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udaymathapati
Mr Tolstoy bought 100 CDs at $x and sold them at $y. Did Mr Tolstoy profit from the deal?
1. 40% of x > 30% of y
2. 30% of x > 40% of y

Request bunuel to explain with detail. I am finding it difficult to decipher the explaination given belw.

stmt1> we get, x>0.75. Thus, x=0.8y>0.75y, which case y>x and Mr Tolstoy made a profit or x=2y >0.75y, in which case, he did not make profit. Thus we can't conclude whether he made a profit or not.
Show more

Mr. T would make a profit if \(X<Y\) or \(\frac{X}{Y} < 1\),
Mr. T would incur a loss if \(X>Y\) or \(\frac{X}{Y} > 1\).

S1: 40% of x > 30% of y, so \(4X > 3Y\) or \(\frac{X}{Y} > \frac{3}{4}\), but is it greater than 1? we dont know. Not sufficient.
S2: 30% of x > 40% of y, so \(3X > 4Y\) or \(\frac{X}{Y} > \frac{4}{3}\), which is clearly greater than 1. So Mr. T incurred a loss. Sufficient

Answer: B
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Mr Tolstoy bought 100 CDs at $x and sold them at $y. Did Mr 03 Sep 2019, 03:35
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