P's salary is 40% more than Q's salary. R's salary is $\tfrac{3}{4}$ of Q's salary. Now the salaries of P and Q are increased by 5%, and the salary of R is increased by 8%. After the increment, what percent of P's salary is R's salary?

56.78%
53.57%
18.66%
55.10%

Correct answer: 55.10%

Solution

Let Q = 100. Then P = 140 and R = 75. After increments, P = 147 and R = 81. So R as a percentage of P is $\frac{81}{147}\times 100 = 55.10\%$. Hence, the correct answer is 55.10%.

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