Read the following information carefully and answer the given questions. Some recruitment is done by three companies, i.e., P, Q and R. The number of vacancies in company P, Q, and R are 6, 12 and 2 respectively. The number of candidates, who got interview call for per vacancy in company P, Q and R are 60, 6x and 4x respectively. The total number of candidates applied in company R is 25% of the total number of candidates, applied in the company Q and three fifth of the total number of candidates applied in the company P. The difference between the number of candidates, who got interview calls in the company Q and R is 320. The number of candidates applied in company R is what percentage of the number of candidates applied in company P?

### Concept & Formula To find what percentage $X$ is of $Y$, use the standard percentage formula: $$ \text{Percentage} = \frac{X}{Y} \times 100 $$ ### Step-by-Step Solution 1. Let the candidates applied in company P and company R be $A_P$ and $A_R$ respectively. 2. The problem states that the total number of candidates applied in company R is three-fifths ($\frac{3}{5}$) of the total number of candidates applied in company P. 3. Expressing this mathematically, we get: $A_R = \frac{3}{5} A_P$. 4. To find $A_R$ as a percentage of $A_P$, substitute this into the formula: $\frac{A_R}{A_P} \times 100$. 5. Calculation: $\frac{3}{5} \times 100 = 60\%$. ### Exam Strategy & Shortcut Recognize common fraction-to-percentage conversions instantly to save time. Knowing that $\frac{1}{5} = 20\%$, you can immediately deduce that $\frac{3}{5} = 60\%$ without any formal calculation. ### Common Pitfall Calculating $\frac{A_P}{A_R}$ instead of $\frac{A_R}{A_P}$, leading to an incorrect result of $166.66\%$. Always pay attention to the "is what percentage of" phrasing. ### Final Answer Therefore, the correct answer is **60%**.