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In 1990 the budgets for projects Q and V were $ 660,000

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In 1990 the budgets for projects Q and V were $ 660,000  [#permalink]

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New post 27 Oct 2013, 00:40
3
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

73% (01:31) correct 27% (01:51) wrong based on 234 sessions

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In 1990 the budgets for projects Q and V were $660,000 and $780,000, respectively. In each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. In which year was the budget for Q equal to the budget for V ?

(A) 1992
(B) 1993
(C) 1994
(D) 1995
(E) 1996
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Re: In 1990 the budgets for projects Q and V were $ 660,000  [#permalink]

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New post 27 Oct 2013, 00:46
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abid1986 wrote:
In 1990 the budgets for projects Q and V were $660,000 and $780,000, respectively. In each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. In which year was the budget for Q equal to the budget for V ?

(A) 1992
(B) 1993
(C) 1994
(D) 1995
(E) 1996


Let the no of years it takes is x.

660+30x = 780-10x --> 40x = 120 and x=3.

Thus, it happens in 1993.

B.
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Re: In 1990 the budgets for projects Q and V were $ 660,000  [#permalink]

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New post 27 Oct 2013, 00:47
Q=660k increases by 30k per year
V=780k decreases by 10k per year
if x year passes, Q=V, then:
660k+30k*x=780k-10k*x
x*40k=120k
x=3

after 3 years budgets for both will be $750,000. Answer is B.
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Re: In 1990 the budgets for projects Q and V were $ 660,000  [#permalink]

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New post 30 Apr 2015, 08:47
780000-660000=120000
difference=40000 so it will take 3years
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Re: In 1990 the budgets for projects Q and V were $ 660,000  [#permalink]

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New post 07 May 2015, 21:44
1
Hi All,

Certain Quant questions on Test Day can be beaten with a bit of "brute force" and a little arithmetic. You don't need to be a genius and you don't need any special formulas, but you DO need to be ready to put pen to pad and do the work...

We're told the budgets for 2 projects in 1990:

Project Q = $660,000
Project V = $780,000

We're then told that in each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. We're asked for the year in which the two budgets were EQUAL.

1991: Q = 690,000; V = 770,000
1992: Q = 720,000; V = 760,000
1993: Q = 750,000; V = 750,000

And we're done.

Final Answer:

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Re: In 1990 the budgets for projects Q and V were $ 660,000  [#permalink]

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New post 16 Aug 2018, 06:29
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Re: In 1990 the budgets for projects Q and V were $ 660,000   [#permalink] 16 Aug 2018, 06:29
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