Whenever Sally takes a cab and the fare is between $15 and$ : GMAT Data Sufficiency (DS)
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# Whenever Sally takes a cab and the fare is between $15 and$

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Manager
Joined: 19 Sep 2010
Posts: 56
Location: Pune, India
Followers: 13

Kudos [?]: 27 [4] , given: 9

Whenever Sally takes a cab and the fare is between $15 and$ [#permalink]

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27 Jan 2011, 08:30
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55% (hard)

Question Stats:

63% (02:43) correct 37% (01:40) wrong based on 302 sessions

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Whenever Sally takes a cab and the fare is between $15 and$65, she calculates the dollar amount of the tip as 3 times the tens digit of the fare. If Sally's most recent fare was between $15 and$65, was the tip Sally calculated on this bill greater than 25 percent of the amount of the bill?

(1) The amount of the fare was between $17 and$40.
(2) Sally calculated a tip of $3. [Reveal] Spoiler: OA Attachments Q2.JPG [ 23.69 KiB | Viewed 4014 times ] Math Expert Joined: 02 Sep 2009 Posts: 36597 Followers: 7093 Kudos [?]: 93446 [1] , given: 10563 Re: Sally's bill greater than 25% of the amount? [#permalink] ### Show Tags 27 Jan 2011, 09:15 1 This post received KUDOS Expert's post 1 This post was BOOKMARKED Whenever Sally takes a cab and the fare is between$15 and $65, she calculates the dollar amount of the tip as 3 times the tens digit of the fare. If Sally's most recent fare was between$15 and $65, was the tip Sally calculated on this bill greater than 25 percent of the amount of the bill? You can solve this question with algebra but I think simple analysis would be better. (1) The amount of the fare was between$17 and $40 --> 17<fare<40. Now if the fair was 20$ then the tip would be 3*2=$6 (3 times tens digit) so more than 0.25*20=$5 (25% of the fare) but if the fare was 28$then the tip would still be 3*2=$6 but in this case less than 0.25*28=$7. Not sufficient. (2) Sally calculated a tip of$3 --> tip=$3 means that: 15<fare<20 (so that the tens digit of the fare to be 1). Now, even if the fare was exactly$15 (lowest limit), 25% of it would be 0.25*15=$3.75 and it's still greater than$3. So the answer to the question is NO: the tip (3$) was not greater than 25% of the fare. Sufficient. Answer: B. For percents check: math-number-theory-percents-91708.html or math-number-theory-88376.html _________________ Manager Joined: 30 Aug 2010 Posts: 91 Location: Bangalore, India Followers: 5 Kudos [?]: 160 [1] , given: 27 Re: Sally's bill greater than 25% of the amount? [#permalink] ### Show Tags 27 Jan 2011, 23:43 1 This post received KUDOS SoniaSaini wrote: Please Help me.Can I get some basic information about %? I'm not getting this % concepts? Hi, Percent, as the name suggests, is PER CENT ==> /100 e.g 10 percent of 30 ==> (10/100)*30 = 3 hence you can always rplace PERCENT word with /100. Letz try this. 20 percent of the price of a computer is$6000. What is the actual price of the computer

(20/100) * (the actual price) = 6000

==> The actual price = 6000*100 / 20 = 30000

Now, as you can infer from above, x % of 100 is always x

now, it is very useful to grasp the below stated concepts.

x % of a +ve # that is < 100 is always < x
x % of a +ve # that is > 100 is always > x

10 % of 100 is 10
10 % of 80 is 8 i.e. < 10
10 % of 450 is 45 i.e. > 10

Also remember,

25 percent of x ==> 25/100 of x ==> 1/4 rth of x ==> quarter of x
50 percent of x ==> 50/100 of x ==> 1/2 of x ==> half of x
75 percent of x ==> 75/100 of x ==> 3/4 rth of x ==> 3 quarter of x
100 percent of x ==> 100/100 of x ==> x ==> total x

letz try this.

you have $250 and you get 20 percent intrest on your amount. What is the intrest amount. letz solve it Using percent meaning: 20% ==> 20 per cent ==> 20 per 100 ==> it means you get$20 for every $100 you have ==> 250 = 100+100+50 ==> youget 20+20+10 = 50 formula: (20/100)*250 = 50 Al the above concepts are very very very basic things in the percent world. Follow the link, posted by Bunuel, to get more into it. Remember: THE MORE YOU KNOW ABT PERCENTAGES, THE MORE INTERESTING THEY ARE. Regards, Murali. kudos? murali.lawson@gmail.com Manager Joined: 19 Sep 2010 Posts: 56 Location: Pune, India Followers: 13 Kudos [?]: 27 [0], given: 9 Re: Sally's bill greater than 25% of the amount? [#permalink] ### Show Tags 29 Jan 2011, 02:58 muralimba wrote: SoniaSaini wrote: Please Help me.Can I get some basic information about %? I'm not getting this % concepts? Hi, Percent, as the name suggests, is PER CENT ==> /100 e.g 10 percent of 30 ==> (10/100)*30 = 3 hence you can always rplace PERCENT word with /100. Letz try this. 20 percent of the price of a computer is$6000. What is the actual price of the computer

(20/100) * (the actual price) = 6000

==> The actual price = 6000*100 / 20 = 30000

Now, as you can infer from above, x % of 100 is always x

now, it is very useful to grasp the below stated concepts.

x % of a +ve # that is < 100 is always < x
x % of a +ve # that is > 100 is always > x

10 % of 100 is 10
10 % of 80 is 8 i.e. < 10
10 % of 450 is 45 i.e. > 10

Also remember,

25 percent of x ==> 25/100 of x ==> 1/4 rth of x ==> quarter of x
50 percent of x ==> 50/100 of x ==> 1/2 of x ==> half of x
75 percent of x ==> 75/100 of x ==> 3/4 rth of x ==> 3 quarter of x
100 percent of x ==> 100/100 of x ==> x ==> total x

letz try this.

you have $250 and you get 20 percent intrest on your amount. What is the intrest amount. letz solve it Using percent meaning: 20% ==> 20 per cent ==> 20 per 100 ==> it means you get$20 for every $100 you have ==> 250 = 100+100+50 ==> youget 20+20+10 = 50 formula: (20/100)*250 = 50 Al the above concepts are very very very basic things in the percent world. Follow the link, posted by Bunuel, to get more into it. Remember: THE MORE YOU KNOW ABT PERCENTAGES, THE MORE INTERESTING THEY ARE. Regards, Murali. kudos? murali.lawson@gmail.com Bunuel/Murali, Thanks a lot for your help and time. You both deserve kudos!! Math Expert Joined: 02 Sep 2009 Posts: 36597 Followers: 7093 Kudos [?]: 93446 [0], given: 10563 Re: Whenever Sally takes a cab and the fare is between$15 and $[#permalink] ### Show Tags 10 Jun 2013, 02:52 Bumping for review and further discussion*. Get a kudos point for an alternative solution! *New project from GMAT Club!!! Check HERE Theory on Percent and Interest Problems: math-number-theory-percents-91708.html All DS Percent and Interest Problems to practice: search.php?search_id=tag&tag_id=33 All PS Percent and Interest Problems to practice: search.php?search_id=tag&tag_id=54 _________________ Intern Joined: 09 Apr 2013 Posts: 32 Location: United States Concentration: Social Entrepreneurship, Strategy GMAT 1: 750 Q50 V41 GPA: 3.55 Followers: 1 Kudos [?]: 38 [2] , given: 0 Re: Whenever Sally takes a cab and the fare is between$15 and $[#permalink] ### Show Tags 10 Jun 2013, 08:19 2 This post received KUDOS SoniaSaini wrote: Whenever Sally takes a cab and the fare is between$15 and $65, she calculates the dollar amount of the tip as 3 times the tens digit of the fare. If Sally's most recent fare was between$15 and $65, was the tip Sally calculated on this bill greater than 25 percent of the amount of the bill? (1) The amount of the fare was between$17 and $40. (2) Sally calculated a tip of$3.

Whenever the tens digit of the fare goes up to another number, the tip shoots up to 30% and then gradually moves down to about 15% until the next tens digit jump.

(1) The amount of fare fluctuates from about 15% to 30% throughout this entire range, some easy numbers to try are 6/25 = 24% which is below 25% and 6/20 = 30% which is above 25%. This statement is insufficient.