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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