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

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

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New post 06 Apr 2018, 05:30
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Question Stats:

81% (01:13) correct 19% (01:09) wrong based on 40 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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Re: P, Q, R receive fixed salary in a company. Salary of Q is what percent  [#permalink]

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New post 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 &nbs [#permalink] 06 Apr 2018, 06:10
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