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31 Oct 2010, 06:19
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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
(1) 40% of x > 30% of y
(2) 30% of x > 40% of y
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.
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.
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.
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) \(0.4x>0.3y\) --> \(\frac{y}{x}<\frac{4}{3}={1\frac{1}{3}}\). 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.
