Question
Virat Kohli's strike rate after
facing 'b' balls is 120. In the subsequent 15 balls, he scores an additional 39 runs, leading to an increase in his strike rate by 60. Determine the total number of balls he faced. Note:- [(runs scored/balls faced) × 100]Solution
ATQ, Runs scored by Virat Kohli in 'b' balls = (120b/100) = (6b/5) New strike rate = 120 + 60 = 180 ATQ, 180 = [{(6b/5) + 39} ÷ {b + 15}] X 100 Or, 180 X (b + 15) = 20 X (6b + 195) Or, 9 X (b + 15) = 6b + 195 Or, 9b + 135 = 6b + 195 Or, 3b = 60 So, 'b' = 20 Therefore, number of balls faced by batsman = 'b' + 15 = 20 + 15 = 35
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