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

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

by BTGmoderatorLU » Wed Feb 27, 2019 2:42 pm

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Source: GMAT Prep

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

The OA is B
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by Brent@GMATPrepNow » Wed Feb 27, 2019 4:44 pm
BTGmoderatorLU wrote: Source: GMAT Prep

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

The OA is B
One approach is to treat this is a rate question.

In 1990 the GAP BETWEEN V's budget and Q's budget was $120,000 ($780,000 - $660,000 = $120,000)

Each year, the budget for Q increased by $30,000 and the budget for V decreased by $10,000.
In other words, the GAP BETWEEN the budgets DECREASES by $40,000 each year

So, at a rate of $40,000 per year, it will take 3 years for the gap to decrease from $120,000 to $0

So, the gap will equal $0 (and the two budgets will be the same) in 1993

Answer: B

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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