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In a certain restaurant, if each soft drink costs the same amount, wha

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In a certain restaurant, if each soft drink costs the same amount, wha  [#permalink]

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New post 23 Sep 2019, 21:22
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Re: In a certain restaurant, if each soft drink costs the same amount, wha  [#permalink]

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New post 23 Sep 2019, 21:22

Official Explanation



Statement (1) is sufficient. Since the question asks for the price excluding sales tax and the statement gives you a price excluding sales tax, you can ignore the sales tax for the moment. If the total price for 5 soft drinks is $6.25 and each soft drink costs the same amount, the price for each soft drink is $6.25/5 = $1.25.

Statement (2) is insufficient. We can determine that the cost, including sales tax, of each soft drink is $4.05/3 = $1.35, but we don't know how much sales tax is, so we can't figure out the price excluding sales tax. Choice (A) is correct.
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Re: In a certain restaurant, if each soft drink costs the same amount, wha  [#permalink]

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New post Updated on: 23 Sep 2019, 22:29
1
we need to find cost of 1 drink without tax


(1) The cost, excluding sales tax, of 5 soft drinks is $6.25.....Just gives drink cost excluding tax......sufff
(2) The cost, including sales tax, of 3 soft drinks is $4.05.....Two variables one equation....Insufficient



OA:A

Originally posted by madgmat2019 on 23 Sep 2019, 21:32.
Last edited by madgmat2019 on 23 Sep 2019, 22:29, edited 2 times in total.
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Re: In a certain restaurant, if each soft drink costs the same amount, wha  [#permalink]

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New post 23 Sep 2019, 21:46
1
In a certain restaurant, if each soft drink costs the same amount, what is the cost, excluding sales tax, of 1 soft drink?

(1) The cost, excluding sales tax, of 5 soft drinks is $6.25.
(2) The cost, including sales tax, of 3 soft drinks is $4.05.

Cost (excluding sales tax) =?

(1) The cost, excluding sales tax, of 5 soft drinks is $6.25.
Cost * 5 = 6.25
Cost of one drink = 1.25 (excluding sales tax)

SUFFICIENT!

(2) The cost, including sales tax, of 3 soft drinks is $4.05.
(Cost + Sales Tax) * 3 = 4.05
(Cost + Sales Tax) of one drink = 4.05/3 = $1.35
But we don't know how much the sales tax is => so can't figure out the price excluding sales tax.

INSUFFICIENT!

IMO answer is option A
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Re: In a certain restaurant, if each soft drink costs the same amount, wha  [#permalink]

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New post 23 Sep 2019, 21:51
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In a certain restaurant, if each soft drink costs the same amount, what is the cost, excluding sales tax, of 1 soft drink?

(1) The cost, excluding sales tax, of 5 soft drinks is $6.25.

Since total amount excluding tax is given along with total number of drinks, we can calculate cost per drink. Cost = \(\frac{6.25}{5}\) = $1.25
SUFFICIENT.

(2) The cost, including sales tax, of 3 soft drinks is $4.05.

Total cost $4.05 includes tax the rate of which is unknown. Hence tax can be 1%, 5%, 10% or may be 25%.
Thus, cost per drink can vary any number of times.

INSUFFICIENT.

Answer (A).
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Re: In a certain restaurant, if each soft drink costs the same amount, wha  [#permalink]

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New post 23 Sep 2019, 22:31
1
We are to determine the cost of a soft drink excluding sales tax.

From 1, we know that the cost excluding sales tax of 5 soft drinks is $6.25.
Therefore cost per soft drink excluding sales tax = 6.25/5 = $1.05.
Statement 1 is sufficient.

From 2 we know that cost of three soft drink including sales tax is $4.05
This is insufficient because we don’t know the proportion of the amount which is sales tax.

The answer is therefore A.

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Re: In a certain restaurant, if each soft drink costs the same amount, wha  [#permalink]

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New post 24 Sep 2019, 00:51
given
price of each soft drink is same
determine ; the cost, excluding sales tax, of 1 soft drink
#1
The cost, excluding sales tax, of 5 soft drinks is $6.25.
5*x=6.25
x=1.25 sufficient
#2
The cost, including sales tax, of 3 soft drinks is $4.05
3*x*tax=4.05
price per unit*tax%=1.35
insufficient
IMO A


In a certain restaurant, if each soft drink costs the same amount, what is the cost, excluding sales tax, of 1 soft drink?

(1) The cost, excluding sales tax, of 5 soft drinks is $6.25.
(2) The cost, including sales tax, of 3 soft drinks is $4.05.
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Re: In a certain restaurant, if each soft drink costs the same amount, wha  [#permalink]

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New post 24 Sep 2019, 04:33
Quote:
In a certain restaurant, if each soft drink costs the same amount, what is the cost, excluding sales tax, of 1 soft drink?

(1) The cost, excluding sales tax, of 5 soft drinks is $6.25.
(2) The cost, including sales tax, of 3 soft drinks is $4.05.


"each soft drink costs the same amount"

(1) The cost, excluding sales tax, of 5 soft drinks is $6.25: 6.25/5=1.25 each soft drink, sufic.
(2) The cost, including sales tax, of 3 soft drinks is $4.05: we don't know sales tax, insufic.

Answer (A)
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Re: In a certain restaurant, if each soft drink costs the same amount, wha   [#permalink] 24 Sep 2019, 04:33
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