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

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Retired Moderator
Joined: 22 Aug 2013
Posts: 1428
Location: India
P, Q, R receive fixed salary in a company. Salary of Q is what percent  [#permalink]

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06 Apr 2018, 05:30
00:00

Difficulty:

25% (medium)

Question Stats:

80% (01:13) correct 20% (00:56) wrong based on 49 sessions

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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.
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Joined: 20 Dec 2014
Posts: 36
Re: P, Q, R receive fixed salary in a company. Salary of Q is what percent  [#permalink]

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06 Apr 2018, 06:10
amanvermagmat wrote:
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.

Let the salaries of P, Q and R be P, Q and R respectively
What is asked is what percent of P's salary is Q's salary
= $$\frac{Q}{P}*100$$

Now options
(1) Salary of Q is equal to the sum of salaries of P and R.
-> Q = P + R
ask = $$\frac{Q}{P}*100$$ = $$\frac{(P+R)}{P}*100$$
still R is not known hence Not Sufficient

(2) Salary of R is one-third less than the salary of P.
-> $$R=(1 -\frac{1}{3})P$$
-> R = $$\frac{2}{3}$$P
Nothing Specified about Q hence NS

Combining the 2 is sufficient
ask Q = $$\frac{(P+R)}{P}*100$$ from 1
from 2 we know R = $$\frac{2}{3}$$P
-> P+R = P +$$\frac{2}{3}$$P = $$P*\frac{5}{3}$$
-> $$Q = \frac{5}{3}100$$
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Re: P, Q, R receive fixed salary in a company. Salary of Q is what percent   [#permalink] 06 Apr 2018, 06:10
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