Need to confirm my answer for this one!

To raise funds, a racing team sold T-shirts imprinted with the team’s logo. The team paid their supplier a one-time setup fee of $100. Because they purchased at least 50 T-shirts, the team qualified for their supplier’s quantity discount of x cents per T-shirt and paid (8-(x/100)n) dollars for each of the n T shirts they purchased. What is the value of x?

  1. The team purchased 200 T-shirts, sold each T-shirt for $12, and made a $900 profit.
  2. In addition to the $100 setup fee, the team paid $7 for each T-shirt.To raise funds, a racing team sold T-shirts imprinted with the team’s logo. The team paid their supplier a one-time setup fee of $100. Because they purchased at least 50 T-shirts, the team qualified for their supplier’s quantity discount of x cents per T-shirt and paid (8-(x/100)n) dollars for each of the n T shirts they purchased. What is the value of x? The team purchased 200 T-shirts, sold each T-shirt for $12, and made a $900 profit. In addition to the $100 setup fee, the team paid $7 for each T-shirt.

I marked the answer as D but the #161 – Current GMAT Prep Questions – DS Word Problems and Equations says the answer is A.

My reasoning —

Statement 1 is suf.

Statement 2 is suf – I deduce it is sufficient because the team purchase at least 50 tshirts, qualifying them for a discount , the value for which is given by

(8-(x/100)n) = 7$  Here we can assume the n to be 50 and hence arrive at the value for X.

Do let me know if this is correct!

 

 

Intermediate Asked on January 26, 2017 in Data Sufficiency.
Add Comment
1 Answer(s)

Hi Chaitanya,

I think the question has been copy pasted twice.

Anyways, coming to your question,

Statement II is insufficient:

Because there are two unknowns “x” and “n”, so not sufficient.

you are assuming “n” to be 50, but “n” could be anything.

Question says, they purchased atleast 50 shirts, so it could be anything greater than or equal to 50.

So not sufficient.

As we keep on changing “n” value we will get different “x” value.

So insuffiicent.

Hope this is clear.

Remember: For Value DS question, you should have one unique answer.

 

Expert Answered on January 27, 2017.
Add Comment

Your Answer

By posting your answer, you agree to the privacy policy and terms of service.