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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 Math Expert V Joined: 02 Sep 2009 Posts: 58449 Re: A restaurant meal cost$35.50 and there was no tax. If the  [#permalink]

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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 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. _________________ Intern  Joined: 20 Apr 2013 Posts: 1 A restaurant meal cost$35.50 and there was no tax. If the tip w  [#permalink]

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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)
Math Expert V
Joined: 02 Sep 2009
Posts: 58449

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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
Intern  Joined: 04 Jul 2013
Posts: 2
GMAT 1: 530 Q48 V16 GMAT 2: 620 Q49 V26 Show Tags

Hi,

I'm stuck on something rather trivial on this relatively easy question.

After calculating 10%, I get 39.05and 40.82. I didn't pick B because I noticed that 39 is less than $39.05, so a number like 39.02 would've made this wrong. Can someone explain why i'm wrong? Thanks! GMAT Club Legend  V Joined: 12 Sep 2015 Posts: 4009 Location: Canada Re: A restaurant meal cost$35.50 and there was no tax. If the  [#permalink]

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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 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 RELATED VIDEO FROM OUR COURSE _________________ Board of Directors D Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4772 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: A restaurant meal cost$35.50 and there was no tax. If the  [#permalink]

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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 $$10 < tip < 15$$ Min tip = 10.01 Max tip = 14.99 Min value of meal is 110.01 % 35.50 = 39.05 Max value of meal is 114.99 % 35.50 = 40.82 Hence, answer will be (B)$39 and $41 _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Non-Human User Joined: 09 Sep 2013 Posts: 13271 Re: A restaurant meal cost$35.50 and there was no tax. If the  [#permalink]

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