From the monthly planned marketing budget of a company

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From the monthly planned marketing budget of a company, only 80% was utilized. From the allocated budget, for marketing, 50% was spent on advertisement, 40% of the remaining budget was spent on new business expansion and the remaining $3600 was spent on adhoc expenses. What was the total amount of planned monthly budget?

A. $10,000
B. $12,000
C. $15,000
D. $17,500
E. $20,000

[spoiler]OA=C[/spoiler]

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by Scott@TargetTestPrep » Fri Jun 21, 2019 6:45 pm
VJesus12 wrote:From the monthly planned marketing budget of a company, only 80% was utilized. From the allocated budget, for marketing, 50% was spent on advertisement, 40% of the remaining budget was spent on new business expansion and the remaining $3600 was spent on adhoc expenses. What was the total amount of planned monthly budget?

A. $10,000
B. $12,000
C. $15,000
D. $17,500
E. $20,000

[spoiler]OA=C[/spoiler]

Source: e-GMAT
Let b = the allocated (or utilized) budget. We can create the equation:

0.5b + 0.4(0.5b) + 3600 = b

0.7b + 3600 = b

3600 = 0.3b

12,000 = b

Since this is 80% of the planned budget, the planned budget is 12,000/0.8 = $15,000.

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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by swerve » Sun Jun 23, 2019 9:22 am
Let the allocated budget be \(X\).

\(50\)% spent on advertisement. Remaining is \(0.5X\)
\(40\)% of the remaining on new business expansion \(0.5X*0.4 = 0.2X\). Remaining is \(0.3X = 3600 = X = 12,000\).

Given that only \(80\)% was utilized.
Utilized budget \(= 12,000\).
Planned budget \(= 15,000\).

Therefore, __C__ is the correct option.