The total runs scored by four cricketers P, Q, R, and S in years $2009$ and $2010$ are given in the following table:
Player $2009$ $2010$ P $802$ $1008$ Q $765$ $912$ R $429$ $619$ S $501$ $701$
The player with the lowest percentage increase in total runs is
Analyzing Cricketers' Run Increase
The question asks for the player with the lowest percentage increase in runs scored between the years 2009 and 2010. We need to calculate this percentage for each player.
Runs Data Table
| Player | 2009 Runs | 2010 Runs |
| P | 802 | 1008 |
| Q | 765 | 912 |
| R | 429 | 619 |
| S | 501 | 701 |
Percentage Increase Calculation
The formula for percentage increase is:
$ \text{Percentage Increase} = \frac{(\text{Runs in } 2010 - \text{Runs in } 2009)}{\text{Runs in } 2009} \times 100\% $Let's calculate the percentage increase for each player:
- Player P:
Increase = $1008 - 802 = 206$
Percentage Increase = $ \frac{206}{802} \times 100\% \approx 25.69\% $ - Player Q:
Increase = $912 - 765 = 147$
Percentage Increase = $ \frac{147}{765} \times 100\% \approx 19.22\% $ - Player R:
Increase = $619 - 429 = 190$
Percentage Increase = $ \frac{190}{429} \times 100\% \approx 44.29\% $ - Player S:
Increase = $701 - 501 = 200$
Percentage Increase = $ \frac{200}{501} \times 100\% \approx 39.92\% $
Identifying the Lowest Percentage Increase
Comparing the calculated percentage increases:
- P: $ \approx 25.69\% $
- Q: $ \approx 19.22\% $
- R: $ \approx 44.29\% $
- S: $ \approx 39.92\% $
The lowest percentage increase is approximately $19.22\%$, which corresponds to Player Q.
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