Tom,Dick and Harry

This topic has expert replies
User avatar
Legendary Member
Posts: 1132
Joined: Mon Jul 20, 2009 3:38 am
Location: India
Thanked: 64 times
Followed by:6 members
GMAT Score:760

Tom,Dick and Harry

by harsh.champ » Wed Feb 17, 2010 5:17 am
Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $409. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is

A. 120
B. 200
C. 60
D. 24
E. 36

The OA is E.
It takes time and effort to explain, so if my comment helped you please press Thanks button :)



Just because something is hard doesn't mean you shouldn't try,it means you should just try harder.

"Keep Walking" - Johnny Walker :P

User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

by sanju09 » Thu Feb 18, 2010 4:07 am
harsh.champ wrote:Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $409. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is

A. 120
B. 200
C. 60
D. 24
E. 36

The OA is E.
T:D:H = 100:60:409, hence if we make 569 equal parts of 120, then each part is 120/569, and the difference between T and H is equivalent to 309 × (120/569) = 65.16 (courtesy: the calculator)

Why do you think that such questions would prove to be of any use to the most expected visitors of this site, harsh.champ?
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

User avatar
Legendary Member
Posts: 1275
Joined: Thu Sep 21, 2006 11:13 pm
Location: Arabian Sea
Thanked: 125 times
Followed by:2 members

by ajith » Thu Feb 18, 2010 4:14 am
sanju09 wrote: Why do you think that such questions would prove to be of any use to the most expected visitors of this site, harsh.champ?
I bet that query will go unanswered, just like many other queries about the source etc.
Always borrow money from a pessimist, he doesn't expect to be paid back.

Legendary Member
Posts: 2326
Joined: Mon Jul 28, 2008 3:54 am
Thanked: 173 times
Followed by:2 members
GMAT Score:710

by gmatmachoman » Thu Feb 18, 2010 9:22 am
Hahahah!!

Agreed Ajith!!

Other day someone was telling me I was bit rude at some "community members"..and now what could I say??

User avatar
Legendary Member
Posts: 1132
Joined: Mon Jul 20, 2009 3:38 am
Location: India
Thanked: 64 times
Followed by:6 members
GMAT Score:760

by harsh.champ » Thu Feb 18, 2010 10:10 am
sanju09 wrote:
harsh.champ wrote:Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $409. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is

A. 120
B. 200
C. 60
D. 24
E. 36

The OA is E.
T:D:H = 100:60:409, hence if we make 569 equal parts of 120, then each part is 120/569, and the difference between T and H is equivalent to 309 × (120/569) = 65.16 (courtesy: the calculator)

Why do you think that such questions would prove to be of any use to the most expected visitors of this site, harsh.champ?
Well,sometimes it is useful to just estimate the values instead of accurately calculating the answer.
I guess such type of questions help us in making accurate estimates as we practice again and again.
Sorry,If you felt that it was out of the normal league.
Example:-Taking 1/3 instead of 0.33,,1/9 instead of 0.111 and so on.
Keeping in mind the fractional alternative of a decimal no. do come in handy sometimes.
It takes time and effort to explain, so if my comment helped you please press Thanks button :)



Just because something is hard doesn't mean you shouldn't try,it means you should just try harder.

"Keep Walking" - Johnny Walker :P

User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

by sanju09 » Fri Feb 19, 2010 12:40 am
gmatmachoman wrote:Hahahah!!

Agreed Ajith!!

Other day someone was telling me I was bit rude at some "community members"..and now what could I say??
who told you were rude, GK? :?
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

by sanju09 » Fri Feb 19, 2010 12:50 am
harsh.champ wrote:
sanju09 wrote:
harsh.champ wrote:Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $409. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is

A. 120
B. 200
C. 60
D. 24
E. 36

The OA is E.
T:D:H = 100:60:409, hence if we make 569 equal parts of 120, then each part is 120/569, and the difference between T and H is equivalent to 309 × (120/569) = 65.16 (courtesy: the calculator)

Why do you think that such questions would prove to be of any use to the most expected visitors of this site, harsh.champ?
Well,sometimes it is useful to just estimate the values instead of accurately calculating the answer.
I guess such type of questions help us in making accurate estimates as we practice again and again.
Sorry,If you felt that it was out of the normal league.
Example:-Taking 1/3 instead of 0.33,,1/9 instead of 0.111 and so on.
Keeping in mind the fractional alternative of a decimal no. do come in handy sometimes.
Alright, let's approximate 309 × (120/569)

It's nearly equal to 310 × (120/570) = 310 × (12/57), nearly equal to 310 × (4/19) = 310 × (1/5) = 62...and what's OA?

How does it help now to any league?
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

User avatar
Legendary Member
Posts: 1022
Joined: Mon Jul 20, 2009 11:49 pm
Location: Gandhinagar
Thanked: 41 times
Followed by:2 members

by shashank.ism » Fri Feb 19, 2010 6:22 am
I don't think such tough approximation would come in real exams. though a small approximation could really be given in exams to just test how do we analyse things...
My Websites:
www.mba.webmaggu.com - India's social Network for MBA Aspirants

www.deal.webmaggu.com -India's online discount, coupon, free stuff informer.

www.dictionary.webmaggu.com - A compact free online dictionary with images.

Nothing is Impossible, even Impossible says I'm possible.

Senior | Next Rank: 100 Posts
Posts: 71
Joined: Sun Feb 21, 2010 9:16 pm
Thanked: 3 times
GMAT Score:750

by ashforgmat » Thu Jan 06, 2011 8:04 am
Also the question does not ask for the approximate answer it asks for an exact answer ...so i dont think such questions will be asked in the test.....

User avatar
Senior | Next Rank: 100 Posts
Posts: 43
Joined: Tue Dec 29, 2009 6:40 pm
Thanked: 2 times

by nipunkathuria » Thu Jan 06, 2011 5:32 pm
The question seems to be wrong...since money that TOM had < Money that Harry had ...so how can he contribution of Tom be more than that of Harry (as per the question)?

Wrong Question....Or the Figures in the question are wrong..(409....should have been 40)
Back !!!

User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Thu Jan 06, 2011 6:04 pm
harsh.champ wrote:Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $40. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is

A. 120
B. 200
C. 60
D. 24
E. 36

The OA is E.
The question has a typo, which I've corrected above. The amount for Harry should be not $409 but $40.

Total paid is 104+16 = 120.
Fraction paid by Tom = 100/(100+60+40) = 1/2. So Tom paid 1/2*120 = 60.
Fraction paid by Harry = 40/(100+60+40) = 1/5. So Harry paid 1/5*120 = 24.
Difference between Tom and Harry = 60-24 = 36.

The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3

Senior | Next Rank: 100 Posts
Posts: 86
Joined: Mon Sep 13, 2010 2:36 pm
Thanked: 29 times
Followed by:2 members
GMAT Score:710

by thebigkats » Tue Jan 11, 2011 12:13 pm
Thanks GMAT GuruNY. I just got this Q and was confused as to how can Harry have more money than Tom and yet pay less (Step says: "amount of money which Tom paid more than what Harry paid ".
After your correction it makes much more sense and is fairely straightforward to come to respond

Tom % - Harry % = 120 ((100-40)/(100+60+40)) = 36

thanks

User avatar
Master | Next Rank: 500 Posts
Posts: 143
Joined: Sat Nov 06, 2010 9:06 pm
Thanked: 10 times
Followed by:1 members

by edvhou812 » Sun Mar 06, 2011 8:57 pm
GMATGuruNY wrote:
harsh.champ wrote:Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $40. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is

A. 120
B. 200
C. 60
D. 24
E. 36

The OA is E.
The question has a typo, which I've corrected above. The amount for Harry should be not $409 but $40.

Blasted typo messed me up. I knew something was wrong when I saw the end of the question. Guess I can't feel too bad for getting it wrong. :/

Total paid is 104+16 = 120.
Fraction paid by Tom = 100/(100+60+40) = 1/2. So Tom paid 1/2*120 = 60.
Fraction paid by Harry = 40/(100+60+40) = 1/5. So Harry paid 1/5*120 = 24.
Difference between Tom and Harry = 60-24 = 36.

The correct answer is E.
I don't know what to say, really. Three minutes to the biggest battle of our professional lives. You find out life's this game of inches, so is football. Because in either game - life or football - the margin for error is so small. I mean, one half a step too late or too early and you don't quite make it. One half second too slow, too fast and you don't quite catch it. I'll tell you this, in any fight it's the guy whose willing to die whose gonna win that inch. That's football guys, that's all it is. Now, what are you gonna do?

Junior | Next Rank: 30 Posts
Posts: 17
Joined: Wed Jun 15, 2011 11:38 am
Thanked: 1 times

by tailoc » Tue Aug 30, 2011 9:31 am
when I read the question, I saw a problem in the question "The amount of money which Tom paid more than what Harry paid is " with 100:60:409. plz correct question

Master | Next Rank: 500 Posts
Posts: 101
Joined: Thu Aug 25, 2011 9:39 pm

by prashant misra » Thu Nov 03, 2011 6:51 am
i think the question posted to us is wrong.there is some miscalculation in values.
Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $409. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is

(A) 120
(B) 200
(C) 60
(D) 24
(E) 36