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A restaurant meal cost $35.50 and there was no tax. If the

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A restaurant meal cost $35.50 and there was no tax. If the [#permalink] New post   17 Dec 2012, 08:30
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A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between

(A) $40 and $42
(B) $39 and $41
(C) $38 and $40
(D) $37 and $39
(E) $36 and $37
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BrentGMATPrepNow
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A restaurant meal cost $35.50 and there was no tax. If the [#permalink] New post   Updated on: 04 May 2020, 15:37
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Walkabout wrote:
A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between

(A) $40 and $42
(B) $39 and $41
(C) $38 and $40
(D) $37 and $39
(E) $36 and $37



10% tip
Tip = 10% of $35.50 = $3.55
TOTAL AMOUNT = $35.50 + $3.55 = $39.05

15% tip
Tip = 15% of $35.50 ≈ $3.55 + $1.77 ≈ $5.32
TOTAL AMOUNT ≈ $35.50 + $5.32 = $40.82

So, the TOTAL cost will be between $39.05 and $40.82

Only answer choice B meets this requirement

Originally posted by BrentGMATPrepNow on 08 Jan 2018, 09:00.
Last edited by BrentGMATPrepNow on 04 May 2020, 15:37, edited 1 time in total.
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Re: A restaurant meal cost $35.50 and there was no tax. If the [#permalink] New post   17 Dec 2012, 08:34
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Walkabout wrote:
A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between

(A) $40 and $42
(B) $39 and $41
(C) $38 and $40
(D) $37 and $39
(E) $36 and $37


The total amount for the meal was between 35.5*1.1=39.05 and 35.5*1.15=~41. Only option which covers all possible values of the meal is B.

Answer: B.
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A restaurant meal cost $35.50 and there was no tax. If the tip w [#permalink] New post   09 May 2013, 01:05
just came across this question in OG13 and I thought answer should be A

Let Total paid be T
so 39.05<T<40.83. So it fits "inside" A, 40<T<42 so to speak.
B states that 39<T<41, which works for the right hand side of T but not for the left. (E.g. if T is 39.01, then tip is only 9.89% of 35.50 - less than 10% requirement in the question)
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Re: A restaurant meal cost $35.50 and there was no tax. If the t [#permalink] New post   09 May 2013, 02:01
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tracy0317 wrote:
just came across this question in OG13 and I thought answer should be A

Let Total paid be T
so 39.05<T<40.83. So it fits "inside" A, 40<T<42 so to speak.
B states that 39<T<41, which works for the right hand side of T but not for the left. (E.g. if T is 39.01, then tip is only 9.89% of 35.50 - less than 10% requirement in the question)


The total amount paid was between 35.5*1.1=39.05 and 35.5*1.15=~41. Only option which covers all possible values of the meal is B.
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Re: A meal cost $ 35.50 adn there was no tax. If the tip was more than 10 [#permalink] New post   16 Jul 2017, 17:34
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A meal cost $ 35.50 adn there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be:

A. 40-42
B. 39-41
C. 38-40
D. 37-39
E. 36-37


We can determine the lower end and the upper end of the meal cost plus the tip. The lower end is the meal cost plus 10% tip:

35.50 + 0.1(35.50) = 35.50 + 3.55 = $39.05

The upper end is the meal cost plus 15% tip:

35.50 + 0.15(35.50) = 35.50 + 5.33 = $40.83

Thus, the total amount paid is between $39 and $41.

Answer: B
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Re: A restaurant meal cost $35.50 and there was no tax. If the [#permalink] New post   27 May 2023, 02:37
Given:
Cost of the meal = $35.50

Let's calculate the range of the tip amount:
Minimum tip (10% of the cost of the meal) = 0.10 * $35.50 = $3.55
Maximum tip (15% of the cost of the meal) = 0.15 * $35.50 = $5.33

Now, we'll calculate the range of the total amount paid by adding the cost of the meal to the minimum and maximum tip amounts:
Minimum total amount paid = $35.50 + $3.55 = $39.05
Maximum total amount paid = $35.50 + $5.33 = $40.83

Therefore, the total amount paid must have been between $39.05 and $40.83, which corresponds to option (B) in the given choices.
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Re: A restaurant meal cost $35.50 and there was no tax. If the [#permalink]
27 May 2023, 02:37
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