The circle graph above represents the type of law practiced by 55,000 members of an international law organization. The percent represented are exact.

Quantity A	Quantity B
The number of lawyers in the organization who practice all types of litigation	The number of lawyers who practice corporate law

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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It is easy to check that lawyers doing corporate law are 21%. Those who are doing any type of litigation are x^2% + (x+1)%. Now, in order to find x, we can notice that x^2+(x+1)+x = 100%-21%-17%-22%-15% = 25%. Solving this equation we get that x = -6 and x = 4. Since x is a percentage it must be non-negative, thus x = 4. Then, we can substitute x^2=4^2=16 and x+1=4+1=5. Thus, the lawyers doing any type of litigation are 21% exactly as those doing corporate law. Answer C!

Given
civil ligitation = (x+1)%

criminal ligitation = \(x^2%\)

We are required to find out the total value of these ligitation, but here x are unknown. For that we have to find out x first.

In the circle the whole % will be equal to 100%

so we can add up all the individual group which will sum up to 100%

i.e we have x^2% +(x+1)% +15% + 22% +17% +x% +21% =100%
or x^2 +(x+1) +15 + 22 +17 +x +21 =100 (donot confuse with the percentage , for easy calculation i have removed percentage from both sides)

or x^2 + 2x = 100-1-15-22-17-21

or x^2 +2x = 24

or x^2 +2x-24 = 0

or (x-4)(x+6) =0

or x= 4 or x=-6

Since x cannot be negative we have taken x=4

now putting the vaules o f x we have

civil ligitation = (x+1)% = 5%

criminal ligitation = \(x^2%\) = 16%

Total = 5%+16% = 21%

and from the Diagram we know number of lawyers who practice corporate laws = 21%

so the option is C
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@Carcass

Please reply on my query.

As all the values are in percents. And percent means out of 100.
So, it must suggest that all types of law are practiced as 100%, meaning all 55,000 lawyers are participating.
Now, as it's given in Quantity B that 21% of all lawyers participates in Corporate Law.

IMPORTANT: YOU DON'T NEED TO WASTE YOUR TIME IN CALCULATING 21% OF 55,000. AS IT'S QUANTITATIVE COMPARISON TYPE OF GRE QUESTION, SO JUST THINK SMARTLY.

Now, we need to see whether all types of litigation {i.e \(x^2\)% and (x+1)%} greater than 21%, equals to 21% or less than 21%. For that purpose, we need to find value of x.

As we know, sum of all types of laws equals to 100% i.e:

17% + 21% + 15% + 22% + \(x^2\)% + (x+1)% + x% = 100%

75 + \(x^2\) + 2x + 1 = 100
\(x^2\) + 2x - 24 = 0
\(x^2\) + 6x - 4x - 24 = 0
x(x+6) -4(x+6) = 0
(x-4)(x+6) = 0
Either x = 4 or x = -6
As x cannot be negative, because the proportion of a law cannot be in negative. Thus,
x = 4

So, all litigation = Criminal Litigation + Civil Litigation
= \(x^2\) + (x+1)
= \(4^2\) + (4+1)
= 16 + 5
= 21%

As Quantity A also comes out to be 21%, so Choice C is correct.
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is there anoter solution?