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# A certain NYC taxi driver has decided to start charging a

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Manager
Joined: 16 Jan 2007
Posts: 73

Kudos [?]: 27 [0], given: 0

A certain NYC taxi driver has decided to start charging a [#permalink]

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24 Dec 2007, 03:25
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A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount?

1) 3xr/2

2) 3x/200r

3) 3r/200x

4) 3xr/200

5) xr/600

OA to follow

Kudos [?]: 27 [0], given: 0

Director
Joined: 12 Jul 2007
Posts: 857

Kudos [?]: 330 [0], given: 0

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24 Dec 2007, 05:42
Plug in numbers

r = 100
x = 2

so 3(100)(2) = 600/100 = \$6 but we get a 50% discount so 6/2 = \$3
so plugging in 100 for r and 2 for x we need to get an answer of 3

A. 3(2)(100)/2 = 300
B. 3(2)/(200)(100) = 6/20,000 no good
C. 3(100)/200(2) = 300/400 no good
D. 3(2)(100)/200 = 600/200 = 3
E. 2(100)/600 = 200/600 = 1/3

Kudos [?]: 330 [0], given: 0

Director
Joined: 03 Sep 2006
Posts: 866

Kudos [?]: 1065 [0], given: 33

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24 Dec 2007, 06:02
dynamo wrote:
A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount?

1) 3xr/2

2) 3x/200r

3) 3r/200x

4) 3xr/200

5) xr/600

OA to follow

It was direct for me.

1 person.... 1mile........> r cents
3person.....1 mile........> 3r cents
3person.....x mile........>3rx cents

50% discount.............> 3rx/2 cents

In dollars.....> 3rx/200

Kudos [?]: 1065 [0], given: 33

Director
Joined: 23 Sep 2007
Posts: 782

Kudos [?]: 235 [0], given: 0

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24 Dec 2007, 17:24
tricky gotcha question. These questions get me all the time.

the last step is to convert cents into dollars.

This type of trick just don't have any real world application. If I do my calculation for the cab fare and forgot to convert cents into dollars, I would catch myself before paying \$2000 for a \$20 cab ride.

Kudos [?]: 235 [0], given: 0

Manager
Joined: 16 Jan 2007
Posts: 73

Kudos [?]: 27 [0], given: 0

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25 Dec 2007, 11:40

Kudos [?]: 27 [0], given: 0

CEO
Joined: 21 Jan 2007
Posts: 2735

Kudos [?]: 1043 [0], given: 4

Location: New York City

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25 Dec 2007, 14:23
LM wrote:
dynamo wrote:
A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount?

1) 3xr/2

2) 3x/200r

3) 3r/200x

4) 3xr/200

5) xr/600

OA to follow

It was direct for me.

1 person.... 1mile........> r cents
3person.....1 mile........> 3r cents
3person.....x mile........>3rx cents

50% discount.............> 3rx/2 cents

In dollars.....> 3rx/200

it was also very straight forward for me.

(3*x*r) = total cost of miles travelled for 3 people

(3xr)/2 = 50% discount

cents to dollar conversion
[(3xr)/2] * 1/100
3xr/200

Kudos [?]: 1043 [0], given: 4

Re: PS- MGMAT Question   [#permalink] 25 Dec 2007, 14:23
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