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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] New post 09 Aug 2008, 10:26
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Whenever Martin has a restaurant bill with an amount between 10 and 99 dollars, he calculates the dollar amount of the tip as 2 times the tenth digit of the amount of his bill. If the amount of Martin's most recent bill was between 10 and 99 , was the tip calculated by martin on the bill greater than 15 percent of the amountof the bill?

1. The amount of the bill was between 15 and 50
2. The tip calculated by Martin was 8

OPEN DISCUSSION OF THIS QUESTION IS HERE: whenever-martin-has-a-restaurant-bill-with-an-amount-between-109252.html
[Reveal] Spoiler: OA
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Re: Whenever Martin has a restaurant bill with an amount between [#permalink] New post 09 Aug 2008, 11:19
IMO B.

1) Not sufficient. Because values such as 20, 29 satisfies, but 41, etc does not.
2) Definitely answers because 49*15/100 = 7.35 < 8.
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Re: Whenever Martin has a restaurant bill with an amount between [#permalink] New post 10 Aug 2008, 05:44
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vksunder wrote:
Whenever Martin has a restaurant bill with an amount between 10 and 99 dollars, he calculates the dollar amount of the tip as 2 times the tenth digit of the amount of his bill. If the amount of Martin's most recent bill was between 10 and 99 , was the tip calculated by martin on the bill greater than 15 percent of the amountof the bill?

1. The amount of the bill was between 15 and 50
2. The tip calculated by Martin was 8

Please ..please explain your working. Thanks!


(1) using this condition lowest tip can be 2 on 15 = 40/3 % = 13 %
highest tip can be 10/50 *100 = 20% INSUFFI cannot say whther bill is > 15%
(2) tip=8 => say amt is 10 then 80% tip
say amt is 99 => 8/99 *100 ~8% hence INSUFFI canot be always greater than 15%

(1) and (2) tip=8
if amt =15 => 59% is the tip
if amt = 50 => 16% => least possible percentage is 16% > 15% hence always greter than 15 % SUFFI

IMO C
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Re: Whenever Martin has a restaurant bill with an amount between [#permalink] New post 10 Aug 2008, 08:28
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vksunder wrote:
Whenever Martin has a restaurant bill with an amount between 10 and 99 dollars, he calculates the dollar amount of the tip as 2 times the tenth digit of the amount of his bill. If the amount of Martin's most recent bill was between 10 and 99 , was the tip calculated by martin on the bill greater than 15 percent of the amountof the bill?

1. The amount of the bill was between 15 and 50
2. The tip calculated by Martin was 8

Please ..please explain your working. Thanks!


For statement 1) tip for 15 = 2, i.e. 2/15*100 < 15%
tip for 50 = 2*5 = 10 i.e. 20%

Statement 1) is insuff.

Statement 2) Tip calculated is 8 which means bill was between 40 and 50 dollars , which is > 15%

Therefor answer is B)
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Re: Whenever Martin has a restaurant bill with an amount between [#permalink] New post 14 Aug 2008, 09:41
B

(1) If the bill came out to be $49.99, then his tip would have been $8, which is 16% of the bill, thus, the amount is greater than 15%. However, if the bill came out to be $15, then his tip would have been $2, which is 13% of the bill, and thus less than 15% ---> N.S.

(2) If the tip was $8, then the only tens digit that if doubled would yield an 8 is 4. And so even if the bill were 49.99, then the tip would be greater than 15% ---> Sufficient.
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Re: Whenever Martin has a restaurant bill with an amount between [#permalink] New post 14 Aug 2008, 11:20
vksunder wrote:
Whenever Martin has a restaurant bill with an amount between 10 and 99 dollars, he calculates the dollar amount of the tip as 2 times the tenth digit of the amount of his bill. If the amount of Martin's most recent bill was between 10 and 99 , was the tip calculated by martin on the bill greater than 15 percent of the amountof the bill?

1. The amount of the bill was between 15 and 50
2. The tip calculated by Martin was 8

Please ..please explain your working. Thanks!


1) Insuffcieint.. can > or < than 15
15-19 -- 2 --- % range 13%--10%
20-29 --4
30-39 -- 6
40-49 -- 8
50 -- 10 20%

2) tip 8 means
it should be in the region 40-49 --
8/40 --20% 8/~50 = 16%
Sufficient.

B
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Re: Whenever Martin has a restaurant bill with an amount between [#permalink] New post 16 Dec 2014, 06:13
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Re: Whenever Martin has a restaurant bill with an amount between [#permalink] New post 16 Dec 2014, 07:52
Expert's post
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?

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

OPEN DISCUSSION OF THIS QUESTION IS HERE: whenever-martin-has-a-restaurant-bill-with-an-amount-between-109252.html
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Re: Whenever Martin has a restaurant bill with an amount between   [#permalink] 16 Dec 2014, 07:52
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