P, Q, R receive fixed salary in a company. Salary of Q is what percent of the salary of P?

(1) Salary of Q is equal to the sum of salaries of P and R.

(2) Salary of R is one-third less than the salary of P.

Answer Choices

Correct answer marked below

Statement (1) ALONE is sufficient

Statement (2) ALONE is sufficient

BOTH statements TOGETHER are sufficient

Correct

EACH statement ALONE is sufficient

Statements (1) and (2) TOGETHER are NOT sufficient

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Comments

LetíciaSep 29

thanks, this one was pretty straightforward. i got C too.

VanessaJun 1

wait, how is statement 1 alone not enough? if Q = P + R, then Q is definitely more than P, but we don't know by how much because R could be anything. right?

UmangJun 13

yeah exactly, you need statement 2 to pin down R in terms of P. then you can get the exact percentage.

ShobithJun 13

i almost picked A because i forgot that R is still unknown. good reminder to always check if the variables cancel out.

MaitreyeeApr 14

is it just me or is 'one-third less than' kinda confusing? does that mean R = P - (1/3)P?

JakeApr 27

yep, that's how i read it. so R = 2/3 P.

ArinApr 16

thanks! that clears it up.

What this question tests

What it tests

Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.

Common trap

Applying the order of operations out of sequence or rounding intermediate values before the final step.

P, Q, R receive fixed salary in a company. Salary of Q is what percent of the salary of P?(1) Salary of Q is equal to the sum of salaries of P and R.(2) Salary of R is one-third less than the salary of P.