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Suppose original Price was 100. So Price after increase by X% = 100 + X Price after decrease by Y% = 100 + X - Y - XY/100

New Price - Old Price = 100 + X - Y -XY/100 - 100 = X - Y -XY/100

So we need to answer whether or not this entity is +ve or negative X - Y -XY/100

Statement 1: Say X=0.2,Y=0.1 So Entity = 0.1 - .0002 = +ve entity Say X=100, Y=1, so Entity = 99 - 1 = +ve entity

So question can be Answered with A

Statement 2: It is nothing but restatement of statement 1 with 1 fix value. So this also answers the questions.

Question can be answered with both the statements alone. (D)

OA is E. if x is much bigger than y, the new price would be higher than the original, otherwise it wouldn't. this reasoning is true both for 1 and 2. try out.

Suppose original Price was 100. So Price after increase by X% = 100 + X Price after decrease by Y% = 100 + X - Y - XY/100

New Price - Old Price = 100 + X - Y -XY/100 - 100 = X - Y -XY/100

So we need to answer whether or not this entity is +ve or negative X - Y -XY/100

Statement 1: Say X=0.2,Y=0.1 So Entity = 0.1 - .0002 = +ve entity Say X=100, Y=1, so Entity = 99 - 1 = +ve entity

So question can be Answered with A

Statement 2: It is nothing but restatement of statement 1 with 1 fix value. So this also answers the questions.

Question can be answered with both the statements alone. (D)

OA is E. if x is much bigger than y, the new price would be higher than the original, otherwise it wouldn't. this reasoning is true both for 1 and 2. try out.

Lets take original price = 100 and x=50 y=40 new price = 1.50x 100x 0.60= 90 hence less than original suppose x=80 y= 10 new price = 1.80x 100x .90= 162 more than original This is true for both the statements so answer E

Re: The price was increased by x % and then decreased by y %. Is [#permalink]

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26 Jul 2012, 03:54

In this question, statement 2 is basically telling the same thing as stat 1 ( because both x and y need to positive numbers - negative values of x and y doesn't make sense in this case and we know that when both x and y are positive and x = 1.2y then we also know that x>y)

Wouldn't that mean that stat 2 is insuff since it is conveying the same info as 1 and the moment we are done testing 1 we can see how the answer is (E)

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