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# The chart above provides a breakdown of car transactions for a local

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
The chart above provides a breakdown of car transactions for a local  [#permalink]

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26 Nov 2017, 08:29
00:00

Difficulty:

95% (hard)

Question Stats:

42% (02:36) correct 58% (02:30) wrong based on 125 sessions

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The chart above provides a breakdown of car transactions for a local dealership. Were more cars leased in 1999 than were purchased in 1999?

(1) A total of 230 cars were purchased, and there were 10 fewer lease transactions in 2002 than in 1999.
(2) 40 cars were purchased in 2002.

Attachment:

2017-11-26_2027.png [ 9.31 KiB | Viewed 1083 times ]

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Re: The chart above provides a breakdown of car transactions for a local  [#permalink]

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26 Nov 2017, 08:36
C

From st1 b+65+75+z+d=230. And a=v+10.
Hence b+z+d=90. No clear info about a. Hence insufficient

From st2 z=40. Hence v=60. No info about a. Hence insufficient.

Combining a=70. And b=40. Hence sufficient to answer

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Re: The chart above provides a breakdown of car transactions for a local  [#permalink]

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26 Nov 2017, 10:17
1
Out of 475, total number of leases = p, total number of purchases = d. So p+d = 475.
Also, number of leases in 1999 and 2002 are a and v respectively. Number of purchases in the two years are b and z respectively.

(1) Total purchases = d=230. This means total lease transactions = p=475-230 = 245.
Also given that there were 10 fewer lease transactions in 2002 than in 1999. So v=a-10.
Now, a+75+50+v = 245. or a+125+a-10 = 245. This will give us the value of a, and in turn will also give us the value of b (since a+b = 110). And thats what we have to compare: a with b. Sufficient

(2) Given z=40. This is NOT sufficient on its own.

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Re: The chart above provides a breakdown of car transactions for a local  [#permalink]

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26 Nov 2017, 10:19
Sasindran wrote:
C

From st1 b+65+75+z+d=230. And a=v+10.
Hence b+z+d=90. No clear info about a. Hence insufficient

From st2 z=40. Hence v=60. No info about a. Hence insufficient.

Combining a=70. And b=40. Hence sufficient to answer

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Hi Sasindaran

from statement 1, b+65+75+z = d = 230. I think d is already given to us. Can you please recheck, maybe its a small mistake.
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Re: The chart above provides a breakdown of car transactions for a local  [#permalink]

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26 Nov 2017, 11:20
A is sufficient

Statement 1: b+z=90
Adding all values from lease and purchase columns, (a+v) +(b+z) +265=475
Since b+z is given, we have 2 variables.
Also from Statement 1, a-v=10
2 linear equations for 2 variables. Hence, a and v can be calculated, and then corresponding b and z as well.

Statement 2: only one equation, a+b=110
Insufficient
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Re: The chart above provides a breakdown of car transactions for a local  [#permalink]

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10 Mar 2018, 05:33
Bunuel wrote:

The chart above provides a breakdown of car transactions for a local dealership. Were more cars leased in 1999 than were purchased in 1999?

(1) A total of 230 cars were purchased, and there were 10 fewer lease transactions in 2002 than in 1999.
(2) 40 cars were purchased in 2002.

Attachment:
2017-11-26_2027.png

I loved the ambiguity presented in the question, its just facts everywhere and if one misses anything in statement 1 (which of course I did) then its real challenge.
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Re: The chart above provides a breakdown of car transactions for a local   [#permalink] 10 Mar 2018, 05:33
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