The average score of a cricket player after 48 innings is 49 and in th...
Average score of Dhoni after 48th Innings = 49
Average score of Dhoni after 49th Innings = (48*49 + 98)/49 = 50
Average score of Dhoni after 50th Innings ⇒ 50 + 2 = 52
Score in 50th Innings = (50 * 52) – (49 * 50) = 150
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The average score of a cricket player after 48 innings is 49 and in th...
To solve this problem, we need to find the minimum number of runs required in the 50th innings to increase the average score by 2.
Let's start by finding the total runs scored by the player in the first 48 innings. We know that the average score after 48 innings is 49, so the total runs scored in those innings would be 48 * 49 = 2352.
Now, let's calculate the total runs scored by the player after the 49th innings. We know that in the 49th innings, the player scored 98 runs. So, the total runs scored after the 49th innings would be 2352 + 98 = 2450.
To find the minimum number of runs required in the 50th innings to increase the average score by 2, we need to consider the average score after the 50th innings. Let's assume the player scores 'x' runs in the 50th innings.
- Calculating the average after 50 innings:
The total runs scored after the 50th innings would be 2450 + x. And the total number of innings would be 50. Therefore, the average score after 50 innings would be (2450 + x) / 50.
- The average score after 50 innings should be 2 more than the average score after 48 innings:
According to the problem, the average score after 50 innings should be 49 + 2 = 51.
Therefore, we can set up the equation:
(2450 + x) / 50 = 51
Solving this equation will give us the value of 'x', which represents the minimum number of runs required in the 50th innings.
- Solving the equation:
Multiply both sides of the equation by 50:
2450 + x = 51 * 50
2450 + x = 2550
x = 2550 - 2450
x = 100
Therefore, the minimum number of runs required in the 50th innings to increase the average score by 2 is 100.
Hence, the correct answer is option B) 150.