Question
Rohit Sharma's strike rate is
initially 125 after facing a certain number of balls. Over the next 14 balls, he scores an additional 28 runs, leading to an increase in his strike rate by 35. How many balls has Rohit faced in total now? (Strike rate is calculated as (runs scored/balls faced)×100).Solution
ATQ, Let the number of balls faced by Rohit Sharma until his strike rate is 125 be 'k'. Runs scored by Rohit in 'k' balls = (125k/100) = (5k/4) New strike rate = 125 + 35 = 160 So, 160 = [{(5k/4) + 28} ÷ {k + 14}] X 100 Or, 160 X (k + 14) = 25 X (5k + 112) Or, 32 X (k + 14) = 5 X (5k + 112) Or, 32k + 448 = 25k + 560 Or, 7k = 112 So, 'k' = 16 Therefore, number of balls faced by Rohit now = K + 14 = 16 + 14 = 30
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