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# The travel expenses from city X to city Y using Bus or Train or Plane

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Joined: 25 Dec 2018
Posts: 148
Location: India
GMAT 1: 490 Q47 V13
GPA: 2.86
The travel expenses from city X to city Y using Bus or Train or Plane  [#permalink]

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05 Jan 2019, 11:23
1
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Difficulty:

45% (medium)

Question Stats:

67% (01:54) correct 33% (02:14) wrong based on 36 sessions

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The travel expenses from city X to city Y using Bus or Train or Plane are in the ratio 3:4:6 respectively. Expenses on Plane travel is how more than the expense on Bus travel?

1. The expenditure on train travel is $60 more than 2/3 of the expenditure on Bus travel. 2. If the expenditure on Bus travel were$10 more, the ratio of expenditure on bus travel to that on plane travel would be 5:9
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Joined: 01 May 2017
Posts: 82
Location: India
Re: The travel expenses from city X to city Y using Bus or Train or Plane  [#permalink]

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05 Jan 2019, 17:56
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2
The travel expenses from city X to city Y using Bus or Train or Plane are in the ratio 3:4:6 respectively. Expenses on Plane travel is how more than the expense on Bus travel?

Let x be the common factor of all the charges, which implies
Bus Charges = 3x
Train charges = 4x
Plain charges = 6x
Required = 6x-3x = 3x

1. The expenditure on train travel is $60 more than 2/3 of the expenditure on Bus travel. Train Charge = 2/3(Bus charge) + 60 $$4x = 60 + 2/3*(3x)$$ 2x = 60 x = 30 implies 3x = 90 Sufficient 2. If the expenditure on Bus travel were$10 more, the ratio of expenditure on bus travel to that on plane travel would be 5:9
$$3x+10/6x = 5/9$$
Solving for x,
x = 30 implies 3x = 90
Sufficient

Option D is correct
Re: The travel expenses from city X to city Y using Bus or Train or Plane   [#permalink] 05 Jan 2019, 17:56
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