A restaurant sells a sandwich discount card for $180, which

Question

A restaurant sells a sandwich discount card for $180, which entitles the holder to a 20% discount on all sandwiches for one year. Last year, regular sandwiches cost $4.50, while gourmet sandwiches cost either $7.00 or $12.00. Sandy did not buy a discount card last year. Would she have saved money by doing so? 

(1) She bought 150 sandwiches last year, 80% of which were not gourmet sandwiches.
(2) She spent $285 on gourmet sandwiches last year.

necromonger · Answer

with (1),

We just need to check if (120*4.50+60*7) > 180+(120*4.50+60*7)*0.8

(1) is sufficient

(2) in itself does not give numbers for non gourmet sandwiches.

(A) is answer

shahsac · Answer

1 is not sufficient as there are 2 options for gourmet sandwiches. It can cost either $7.00 or $12.00. We know she bought 120 regular sandwiches and 30 gourmet sandwiches. But don't know which gourmet sandwich she bought
2 gives us that she spent $285 on gourmet sandwich.

Thus we need both statements to solve this problem......C

v1rok · Answer

Stem1 is sufficient by itself, because even if we assume all gourmet sandwiches were the $12 kind, Sandy would only break even after adding cost of discount card. However this is enough to answer the question, that she would not have saved money. (In all other situations she would have spend more with discount card than without.)

So, (A) for me

ps_dahiya · Answer

A

St1: She could have either spent $31 more if all gourmet sandwitches she bought are of $7 each. Or she could be in no profit no loss if all gourmet sandwitches she bought are of $12 each.: SUFF

St2: clearly INSUFF

jaynayak · Answer

A is Suff

Using A we can prove that he would not have saved any money.

B) insuff. We don't know the break of the sandwiches hence cannot say specifically how many gourmet he bought and how many regular he bought

sharadGmat · Answer

Savings for 80% of 150 sandwitches = 20% of 120 = 108$. 

If she bought all remaining 30 sandwitches for $12, then savings would be 

20% of 12*30 = 72. 
Total savings would be 180 - 108 -72 = 0 . 

if she bought atleast one $7 sandwitch she would have definitely saved. 

So could she have saved ? No if she bought all $12 sandwitches. Yes if she bought atleast one $7 sandwitch. 

So statement 1 is insufficient.

kevincan · Answer

Though short on details, your answer is declared OE. OA:A

sharadGmat · Answer

Though short on details, your answer is declared OE. OA:A[/quote

Hi Kevin/v1rok, 

OA is A ? To me it seems that statement 1 is insufficient.. Please read my previous post..

kevincan · Answer

In all other situations she would have spend more with discount card than without.

So in all situations, she wouldn't have saved money. At best, she broke even!

A restaurant sells a sandwich discount card for $180, which

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