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

Question

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

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

mau5 · Accepted Answer

Let the no of years it takes is x.

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

Thus, it happens in 1993.

B.

ayaz657 · Answer

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.

2345678 · Answer

780000-660000=120000
difference=40000 so it will take 3years

EMPOWERgmatRichC · Answer

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:  B

GMAT assassins aren't born, they're made,
Rich

achloes · Answer

I approached this a little differently.

Q's budgets will be multiples of 30: 660, 690, 720, 750 and so on

Since the question wants to know in which year the budgets will be the same, the value for V will also need to be a multiple of 30.

The only year this happens is 1993.

atlas10 · Answer

This method will require validation... both 1993 and 1996 exists.

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

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