Whenever martin has a restaurant bill with an amount between

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Whenever martin has a restaurant bill with an amount between [#permalink]

12 Feb 2011, 13:48

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Question Stats:

73% (02:09) correct

26% (01:04) wrong

based on 1 sessions

Whenever martin has a restaurant bill with an amount between $10 and $99, he calculates the dollar amount of the tip as 2times the tens digit of the amount of his bill.If the amount of the Martin's most recent restaurant bill was between $10 and $99, was the tip calculated by the martin on this bill greater than 15 percent of the amount of the bill?

(1) The amount of the bill was between $15 and $50
(2) The tip calculated by the martin was $8

1) as bill amount is between $15 and $50
tens digit can be any digit from 1,2,3,4

not sufficient

2) tip is 8
let y is the tens digit
2(y) = 8
y = 4
not sufficient

from 1 and 2

for any value of tens digit from 1 to 4 inclusive

and y=4

we can conclude that calculated tip ill be greater than the 15% of amount of bill

C

[Reveal] Spoiler: OA

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Re: whenever martin has a restaurant bill [#permalink]

12 Feb 2011, 14:21

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GMATD11 wrote:

whenever martin has a restaurant bill with an amount between $10 and $99, he calculates the dollar amount of the tip as 2times the tens digit of the amount of his bill. If the amount of the Martin's most recent restaurant bill was between $10 and $99, was the tip calculated by the martin on this bill greater than 15 percent of the amount of the bill?

1) The amount of the bill was between $15 and $50
2) The tip calculated by the martin was $8

C is not correct.

You can solve this question algebraically but I think simple analysis would be better.

(1) The amount of the bill was between $15 and $50 --> 15<bill<50. Now if the bill was 20$ then the tip would be 2*2=$4 (2 times tens digit) so more than 0.15*20=$3 (15% of the bill) but if the bill was 29$ then the tip would still be 2*2=$4 but in this case less than 0.15*29=~$4.5. Not sufficient.

(2) The tip calculated by the martin was $8 --> Tip=$8 means that: 40<=bill<50 (so that the tens digit of the bill to be 4). Now, even if the bill was exactly $50 (uppert limit), 15% of it would be 0.15*50=$7.5 and it's still less than $8. So the answer to the question is YES: the tip (8$) was greater than 15% of the bill. Sufficient.

Answer: B.

Similar question: sally-s-bill-greater-than-25-of-the-amount-108351.html
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Re: whenever martin has a restaurant bill [#permalink]

12 Feb 2011, 15:14

yes, it has to be B. since the 15% of 50 is 7.5, and if the tip is 8, then the tip value between 40 to 50 will always be more than 7.5

where as for 1 the value can be less than 15% to more than 15%, depending if the amount is for example between 15 to 19, vs between 25 to 29

Re: whenever martin has a restaurant bill [#permalink] 12 Feb 2011, 15:14

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Whenever martin has a restaurant bill with an amount between

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