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Archit143
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Great explanation.....solves it in very simple manner.
Ther eis a typo in ur post its should be Q not ......people may get confused

+1 Bunuel
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Archit143
Great explanation.....solves it in very simple manner.
Ther eis a typo in ur post its should be Q not ......people may get confused

+1 Bunuel

Typo edited. Thank you.
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What percent of Firm XYZ's budget will be spent on legal expenses? GIven:
Production cost : 40%
Overhead expense : 21%
Marketing : 14%
R&D expense :X %
Legal: Q%


X + Q = 25 <--- Call this (#)

(1) If the firm increases its legal expenses by 50%, its total expenses would increase by 5%.

1.5Q + X + 75 = 105
Sufficient with (#)

(2) Legal expenses represent less than 1/5 of the total budget.
Q < 20
Insufficient with (#)

Therefore (A) is correct.

Pardon the ignorance, but doesn't getting to the equation 1.5Q + X + 75 = 105 only get us reduced to still having the two variables X and Q and thus not determining a value for Q? If I follow this equation right through:
Step 2: 1.5Q + X = 105-75
Step 3: 1.5Q + X = 30
Step 4 (the only other move I see possible from here): 1.5Q = 30 - X
Is it that at this point we would be able to substitute for Q or X from original equation Q + X = 25 to solve (if we had to go all the way through and solve the problem as opposed to just having to prove sufficiency?
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Zenverse
What percent of Firm XYZ's budget will be spent on legal expenses? GIven:
Production cost : 40%
Overhead expense : 21%
Marketing : 14%
R&D expense :X %
Legal: Q%


X + Q = 25 <--- Call this (#)

(1) If the firm increases its legal expenses by 50%, its total expenses would increase by 5%.

1.5Q + X + 75 = 105
Sufficient with (#)

(2) Legal expenses represent less than 1/5 of the total budget.
Q < 20
Insufficient with (#)

Therefore (A) is correct.

Pardon the ignorance, but doesn't getting to the equation 1.5Q + X + 75 = 105 only get us reduced to still having the two variables X and Q and thus not determining a value for Q? If I follow this equation right through:
Step 2: 1.5Q + X = 105-75
Step 3: 1.5Q + X = 30
Step 4 (the only other move I see possible from here): 1.5Q = 30 - X
Is it that at this point we would be able to substitute for Q or X from original equation Q + X = 25 to solve (if we had to go all the way through and solve the problem as opposed to just having to prove sufficiency?

Yes, we can solve system of equations (1.5Q = 30 - X and Q + X = 25) to get that Q = 10 and X = 15. Check another solution HERE.
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Can we assume that the given expenses are the only ones that Firm XYZ's will have to face?
If that is not clearly stated in the prompt (which is not), we can't be sure that 40% + 21% + 14% + X% + Q% = 100%, so the correct should be Answer E.
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Archit143
What percent of Firm XYZ's budget will be spent on legal expenses?
GIven:
Production cost : 40%
Overhead expense : 21%
Marketing : 14%
R&D expense :X %
Legal: Q%

(1) If the firm increases its legal expenses by 50%, its total expenses would increase by 5%.

(2) Legal expenses represent less than 1/5 of the total budget.


I actually can't believe that I spent 1 minute 51 seconds on this question...
it is ridiculously easy for a 700 level...

1. it basically tells that 50% of Q is equal to 5% of the budget. therefore, Q must be 10% of the budget. Sufficient. B, C, and E are out.
2. Q < 20%. not sufficient.

A is the answer.
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