Percentage of Cricket Players Scoring Runs

Number of players who scored less than or equal to 40 runs in tournament Q = $300 - (30\% \text{ of } 300) = 300 - 90 = 210$.

Number of players who scored more than 60 runs in tournament P and Q together = $(25\% \text{ of } 300) + (25\% \text{ of } 300) = 75 + 75 = 150$.

Required percentage = $\frac{210 - 150}{150} \times 100 = \frac{60}{150} \times 100 = 40\%$.

The number of players who scored more than 60 runs in tournament Q = $25\% \text{ of } 300 = 75$.

Players scoring $\le 20$ in Q = $300 - (60\% \text{ of } 300) = 300 - 180 = 120$.

Players scoring $\le 20$ in R = $300 - (70\% \text{ of } 300) = 300 - 210 = 90$.

Total players scoring $\le 20$ in Q and R together = $120 + 90 = 210$.

Required ratio = $75 : 210 = 5 : 14$.

Number of players scoring $> 60$ in P = $25\% \text{ of } 300 = 75$.

Number of players scoring $> 60$ in Q = $25\% \text{ of } 300 = 75$.

Number of players scoring $> 60$ in R = $20\% \text{ of } 300 = 60$.

Total = $75 + 75 + 60 = 210$.

$L = 35\% \text{ of } 300 = 105$.

$M = 300 - (30\% \text{ of } 300) = 300 - 90 = 210$.

$M - L = 210 - 105 = 105$.

Players scoring $> 20$ in P = $80\% \text{ of } 300 = 240$.

Players scoring $> 20$ in Q = $60\% \text{ of } 300 = 180$.

Players scoring $> 20$ in R = $70\% \text{ of } 300 = 210$.

Average = $\frac{240 + 180 + 210}{3} = \frac{630}{3} = 210$.