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The ratio of the number of Matches played by Rohit and Kohli is 6:5. Kohli scored an average of 52 runs per match and Rohit's average is 25% less than that. If the total runs scored by Kohli is 546 more than Rohit, what is the number of matches Kohli has played?
  • a)
    95
  • b)
    100
  • c)
    105
  • d)
    110
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The ratio of the number of Matches played by Rohit and Kohli is 6:5. ...
Let the number of matches played by Rohit and Kohli be 6k and 5k respectively.
Average runs scored in a match by Rohit = 52(1 - 25/100) = 39
Given, 52*5k - 39*6k = 546
=> 26k = 546
=> k = 21
Number of Matches played by Kohli = 5*21 = 105
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Most Upvoted Answer
The ratio of the number of Matches played by Rohit and Kohli is 6:5. ...
Let's assume that the number of matches played by Rohit is 6x and the number of matches played by Kohli is 5x, where x is a common factor.

Rohit's average score per match is 25% less than Kohli's average score. Therefore, Rohit's average score is 0.75 * 52 = 39 runs per match.

The total runs scored by Rohit in 6x matches is 39 * 6x = 234x.

The total runs scored by Kohli in 5x matches is 52 * 5x = 260x.

According to the given information, the total runs scored by Kohli is 546 more than Rohit. Therefore, we can set up the equation:

260x - 234x = 546

26x = 546

x = 546 / 26 = 21

So, the number of matches played by Kohli is 5x = 5 * 21 = 105.

Therefore, the correct answer is option C) 105.
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The ratio of the number of Matches played by Rohit and Kohli is 6:5. Kohli scored an average of 52 runs per match and Rohit's average is 25% less than that. If the total runs scored by Kohli is 546 more than Rohit, what is the number of matches Kohli has played?a)95b)100c)105d)110Correct answer is option 'C'. Can you explain this answer?
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