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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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Re: A restaurant meal cost $35.50 and there was no tax. If the [#permalink] New post 17 Dec 2012, 08:34
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
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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PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!


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Re: A restaurant meal cost $35.50 and there was no tax. If the [#permalink] New post 09 May 2013, 10:55
Lower End:
NA=35.50(1+10/100)
NA=35.50(110/100)
NA=39.05

Upper End:
NA=35.50(1+15/100)
NA=35.50(115/100)
NA=40.825

Rounding = 39-41

B
Re: A restaurant meal cost $35.50 and there was no tax. If the   [#permalink] 09 May 2013, 10:55
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