Data Sufficiency

An item's sale price was x percent of its original price by the end of the first week of the sale. By the end of the second week, the sale price was further reduced to y percent of its original price.

What was the original price of the item?

x = 20
y - x = 15

E

Let original price = a

End of first week, items price = (x/100) * a
End of second week, items price = (y/100) * a

(1) Clearly Not sufficient

(2) Again, not sufficient as we have 3 unknowns

Combine (1) and (2)

y = 35, which again does not give the value of a itself.

bblast wrote:An item's sale price was x percent of its original price by the end of the first week of the sale. By the end of the second week, the sale price was further reduced to y percent of its original price.

What was the original price of the item?

x = 20
y - x = 15

E

Hi, Although the answer is E. I think the second statement is incorrect.
After reading the question statement can't we say that the value of Y is less than X?

In the 2nd week the price was further reduced to Y% of the actual price (P) . Say, X=20%
Sale price in 1st week= 0.2p
Sale price in the 2nd week has to be less that the 1st week price.
Hence value of Y should be less than X. Or, Am I missing something.. is it something like this for the 2nd week -- y% of X% of P.

Just a thought

I did a similar problem in prob solving.....In this yes statement 1 and 2 are not sufficient to get the original value..

Thought the discounted percentage can be concluded.....

IMOE

saketk wrote:

bblast wrote:An item's sale price was x percent of its original price by the end of the first week of the sale. By the end of the second week, the sale price was further reduced to y percent of its original price.

What was the original price of the item?

x = 20
y - x = 15

E

Hi, Although the answer is E. I think the second statement is incorrect.
After reading the question statement can't we say that the value of Y is less than X?

In the 2nd week the price was further reduced to Y% of the actual price (P) . Say, X=20%
Sale price in 1st week= 0.2p
Sale price in the 2nd week has to be less that the 1st week price.
Hence value of Y should be less than X. Or, Am I missing something.. is it something like this for the 2nd week -- y% of X% of P.

Just a thought

This is exactly why I posted this question. But I am sure we are missing something.

Got to be E.


no information provided on the real price. We can just come out with % value. not the real value.

Though answer should be E but a bad question stem.

+1 for E.

bblast wrote:

saketk wrote:

bblast wrote:An item's sale price was x percent of its original price by the end of the first week of the sale. By the end of the second week, the sale price was further reduced to y percent of its original price.

What was the original price of the item?

x = 20
y - x = 15

E

Hi, Although the answer is E. I think the second statement is incorrect.
After reading the question statement can't we say that the value of Y is less than X?

In the 2nd week the price was further reduced to Y% of the actual price (P) . Say, X=20%
Sale price in 1st week= 0.2p
Sale price in the 2nd week has to be less that the 1st week price.
Hence value of Y should be less than X. Or, Am I missing something.. is it something like this for the 2nd week -- y% of X% of P.

Just a thought

This is exactly why I posted this question. But I am sure we are missing something.

Don't know but lets move on .. this is a bad question stem ..lol