Fundraising - New GMAT Prep

[rahulvsd]

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.

[spoiler]OA: A[/spoiler]

[niketdoshi123]

Price per t-shirt = (8-(x/100)n)
There are two unknowns x & n
Statement 1

The team purchased 200 t-shirts
n=200

total Selling price = 12*200 = $2400
total cost price = S.P - Profit = 2400 - 900 = $1500
So Cost price per t-shirt = 1500/200 = $7.5
8-(x/100)*200 = 7.5

1 equation and 1 variable hence SUFFICIENT

Statement 2

This statement doesn't give any information about the total cost price , equivalent cost price per t-shirt , or # of t-shirts purchased.
hence INSUFFICIENT

so the answer is A