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A seller increased the price of an item by X% and then decreased it by
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24 Mar 2019, 08:53
24 Mar 2019, 08:53
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A seller increased the price of an item by X% and then decreased it by Y%. What is the original price of the item, if X is an odd perfect square less than 10?
1) The price of the item after X% increase and Y% decrease is $2475
2) Y = 2X
1) The price of the item after X% increase and Y% decrease is $2475
2) Y = 2X
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Re: A seller increased the price of an item by X% and then decreased it by
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24 Mar 2019, 10:32
24 Mar 2019, 10:32
PriyankaPalit7 wrote:
A seller increased the price of an item by X% and then decreased it by Y%. What is the original price of the item, if X is an odd perfect square less than 10?
1) The price of the item after X% increase and Y% decrease is $2475
2) Y = 2X
1) The price of the item after X% increase and Y% decrease is $2475
2) Y = 2X
From the question stem we are told X is an odd perfect square below 10, hence X can have 2 values either 1 or 9.
If we solve further we will see neither statement A nor B can help us to get the answer.
Hence E is the correct answer.
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Re: A seller increased the price of an item by X% and then decreased it by
[#permalink]
24 Mar 2019, 11:08
24 Mar 2019, 11:08
PriyankaPalit7 wrote:
A seller increased the price of an item by X% and then decreased it by Y%. What is the original price of the item, if X is an odd perfect square less than 10?
1) The price of the item after X% increase and Y% decrease is $2475
2) Y = 2X
1) The price of the item after X% increase and Y% decrease is $2475
2) Y = 2X
Let the original price of the item be P.
So after increasing price by x%. Price becomes P(1+x/100)
after decreasing the price by y%. Price becomes P(1+x/100)(1-y/100)
Since x is an odd perfect square less than 10. So either x = 1 or 9
Statement 1: The price of the item after X% increase and Y% decrease is $2475
i.e. P(1+x/100)(1-y/100) = 2475 where x = 1 or 9
even if we put value of x we can't find P or y uniquely.
P*1.01*(1-y/100) = 2475 or P*1.09*(1-y/100) = 2475
NOT SUFFICIENT
Statement 2: Y = 2X
So, (x,y) = (1,2) or (9,18)
NOT SUFFICIENT
Combined:
P*1.01*0.98 = 2475 or P*1.09*0.82 = 2475
again P has two values. So we can't determine unique values of P.
NOT SUFFICIENT
Answer E...
