Tim can buy a certain computer for $800 at a local store,

Question

Tim can buy a certain computer for $800 at a local store, or he can buy the same computer for $800 from a catalog. The sales tax charged by the store is s percent and the sales tax charged by the catalog is c percent. If s > c, how much more sales tax will Tim pay if he buys the computer at the store instead of from the catalog?

(1) s = 2c

(2) s = c +3

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2024-01-24_12-49-45.png

Bunuel · Accepted Answer

Tim can buy a certain computer for $800 at a local store, or he can buy the same computer for $800 from a catalog. The sales tax charged by the store is s percent and the sales tax charged by the catalog is c percent. If s > c, how much more sales tax will Tim pay if he buys the computer at the store instead of from the catalog?

(1) s = 2c

(2) s = c +3

Show Spoiler

Attachment:

2024-01-24_12-49-45.png

The question asks to find the value of 800*s/100 - 800*c/100 = 8(s - c). Hence, essentially we need the value of s - c.

(1) s = 2c

The above is not sufficient to find the value of s - c, which would be 2c - c = c. However, since we don't know the value of c, we cannot answer the question. Not sufficient.

(2) s = c +3

Rearranging the above gives s - c = 3. Sufficient.

Answer: B.

sanebeyondone · Answer

I think the question ask "how much more sales tax" that means it's asking for numerical value, not percentage

The exact numerical value is 240 USD
(2) S = C + 3

The difference between 2 sides (how much more sales tax):
800*(C+3)/100 - 800(C)/100 = (800C+2400-800C) = 240 USD

But the answer B no matter.

Bunuel · Answer

800(c + 3)/100 - 800c/100 = 24, not 240. All is correct in the initial solution above.

PrinceDAYAL · Answer

Hello  Bunuel ,

How do we know whether the amount 800 is including tax or without, I got this question wrong just because of this

Tushaar121 · Answer

The $800 is the price of the computer in both the store and the catalog, but the tax rate varies. For both scenarios, we need to calculate sales tax based on this pre-tax price of $800.
Hence the $800 is without the tax.

GMATinsight · Answer

We need only the differential between the values of tax rates i.e. s and c

because the excess tax chatged at store = (s-c)% of 800

Question: s-c = ?

Statement 1  : s = 2c
But we do NOT have s-c hence
  NOT SUFFICIENT

Statement 2  : s = c +3
i.e. s-c = 3
  SUFFICIENT

ANswer: Option B

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Tim can buy a certain computer for $800 at a local store,

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