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Manager  Joined: 19 Sep 2010
Posts: 53
Location: Pune, India
Whenever Sally takes a cab and the fare is between \$15 and \$  [#permalink]

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Difficulty:   55% (hard)

Question Stats: 67% (02:24) correct 33% (02:29) wrong based on 423 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.

Attachment: Q2.JPG [ 23.69 KiB | Viewed 5486 times ]
Math Expert V
Joined: 02 Sep 2009
Posts: 59020
Re: Whenever Sally takes a cab and the fare is between \$15 and \$  [#permalink]

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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?

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.

For percents check: math-number-theory-percents-91708.html or math-number-theory-88376.html
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Manager  Joined: 30 Aug 2010
Posts: 81
Location: Bangalore, India
Re: Whenever Sally takes a cab and the fare is between \$15 and \$  [#permalink]

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1
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.

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: 53
Location: Pune, India
Re: Whenever Sally takes a cab and the fare is between \$15 and \$  [#permalink]

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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.

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 V
Joined: 02 Sep 2009
Posts: 59020
Re: Whenever Sally takes a cab and the fare is between \$15 and \$  [#permalink]

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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

_________________
Current Student B
Joined: 09 Apr 2013
Posts: 39
Location: United States (DC)
Concentration: Strategy, Social Entrepreneurship
Schools: Ross '20 (A\$)
GMAT 1: 750 Q50 V41 GPA: 3.55
WE: General Management (Non-Profit and Government)
Re: Whenever Sally takes a cab and the fare is between \$15 and \$  [#permalink]

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2
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.
(2) We know that in order for the tip to be \$3 the price of the fare has to be between 15 and 19 inclusive. We can calculate that 3/15 = 20% which is below 25%, and know that every time the price of the fare increases in this range, the percentage of tip and fare goes down. So, the tip for all prices above \$15 will be less than 20% of the bill and will not jump above 25% until \$20. This statement is sufficient.

Non-Human User Joined: 09 Sep 2013
Posts: 13572
Re: Whenever Sally takes a cab and the fare is between \$15 and \$  [#permalink]

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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________ Re: Whenever Sally takes a cab and the fare is between \$15 and \$   [#permalink] 24 Oct 2017, 04:53
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