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# PS Question need solution explanation

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Manager
Joined: 25 Jan 2010
Posts: 99
Location: Calicut, India
PS Question need solution explanation  [#permalink]

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19 Jul 2011, 15:33
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:53) correct 0% (00:00) wrong based on 2 sessions

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Spice Airline has a free luggage allowance of " f " kg. If any passanger carries excess luggage, it is charged at a constant rate per kg. The total luggage charge paid by two passangers, A and B is \$1050. If each of A and B had carried twice the luggage he actually did, their luggage charges would have been \$2400 and \$900 respectively. Find A's luggage charge.
A) 750
B) 900
C) 1200
D) 1500
E) 1050

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Senior Manager
Joined: 24 Mar 2011
Posts: 307
Location: Texas
Re: PS Question need solution explanation  [#permalink]

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19 Jul 2011, 20:57
1
what is the source of the problem? the #s are not adding up.. or probably the wordings are not very easy to understand..
Manager
Joined: 31 May 2011
Posts: 69
Location: India
GMAT Date: 12-07-2011
GPA: 3.22
WE: Information Technology (Computer Software)
Re: PS Question need solution explanation  [#permalink]

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19 Jul 2011, 22:00
cleetus wrote:
Spice Airline has a free luggage allowance of " f " kg. If any passanger carries excess luggage, it is charged at a constant rate per kg. The total luggage charge paid by two passangers, A and B is \$1050. If each of A and B had carried twice the luggage he actually did, their luggage charges would have been \$2400 and \$900 respectively. Find A's luggage charge.
A) 750
B) 900
C) 1200
D) 1500
E) 1050

Its a bit time consuming problem but possible.

1st case: A's luggage charge + B's luggage charge = 1050
Therefore: (A-f)R + (B-f)R = 1050 (where f is the luggage allowed and R is the rate per extra luggage)
=> AR+BR-2fR = 1050 --- Eq(i)

2nd case: when the luggage of A and B is doubled
Therefore: (2A-f)R + (2B-f)R = 2400+900 (adding the extra charge paid by A and B when luggage was doubled)
=> 2AR+2BR-2fR = 3300 --- Eq(ii)

solving eq 1 and eq 2 we get:
=> AR + BR = 2250

Substituting this value in eq 1 we get:

=> 2250-2fR = 1050
=> fR = 600

As we know (2A-f)R = 2400 and (2B-f)R = 900
therefore by replacing fR in the above eq, we get AR = 1500 and BR = 750

Now the question asks "What is the charge paid by A" that means the amount paid by A for the extra luggage
i.e. (A-f)R => AR-fR => 1500-600 => 900. (Substituting the value of AR and fR from above in the eq)

Hence B.
Manager
Joined: 25 Jan 2010
Posts: 99
Location: Calicut, India
Re: PS Question need solution explanation  [#permalink]

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21 Jul 2011, 10:26
Sudhanshuacharya wrote:
cleetus wrote:
Spice Airline has a free luggage allowance of " f " kg. If any passanger carries excess luggage, it is charged at a constant rate per kg. The total luggage charge paid by two passangers, A and B is \$1050. If each of A and B had carried twice the luggage he actually did, their luggage charges would have been \$2400 and \$900 respectively. Find A's luggage charge.
A) 750
B) 900
C) 1200
D) 1500
E) 1050

Its a bit time consuming problem but possible.

1st case: A's luggage charge + B's luggage charge = 1050
Therefore: (A-f)R + (B-f)R = 1050 (where f is the luggage allowed and R is the rate per extra luggage)
=> AR+BR-2fR = 1050 --- Eq(i)

2nd case: when the luggage of A and B is doubled
Therefore: (2A-f)R + (2B-f)R = 2400+900 (adding the extra charge paid by A and B when luggage was doubled)
=> 2AR+2BR-2fR = 3300 --- Eq(ii)

solving eq 1 and eq 2 we get:
=> AR + BR = 2250

Substituting this value in eq 1 we get:

=> 2250-2fR = 1050
=> fR = 600

As we know (2A-f)R = 2400 and (2B-f)R = 900
therefore by replacing fR in the above eq, we get AR = 1500 and BR = 750

Now the question asks "What is the charge paid by A" that means the amount paid by A for the extra luggage
i.e. (A-f)R => AR-fR => 1500-600 => 900. (Substituting the value of AR and fR from above in the eq)

Hence B.

Thanks Sudhanshuacharya. Great help. Real solution explanation in the source is time consuming and difficult to understand
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Intern
Joined: 03 Mar 2011
Posts: 13
GMAT 1: 620 Q46 V29
WE: Sales (Hospitality and Tourism)
Re: PS Question need solution explanation  [#permalink]

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21 Jul 2011, 20:11
yeah its lengthy. I gave up at one point almost ..but finally got the answer.
Manager
Joined: 25 Jan 2010
Posts: 99
Location: Calicut, India
Re: PS Question need solution explanation  [#permalink]

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22 Jul 2011, 06:50
esbee wrote:
yeah its lengthy. I gave up at one point almost ..but finally got the answer.

If u practice 10 such questions by taking ample time, u can pace it in less than 2 mins

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: PS Question need solution explanation  [#permalink]

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21 Oct 2018, 12:48
Hello from the GMAT Club BumpBot!

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Re: PS Question need solution explanation   [#permalink] 21 Oct 2018, 12:48
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