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 Name of the Batsman Number if matches played in the tournament Average runs scored in the tournament Total balls faced in the tournament Strike rate in the tournament M 22 56 - - N 18 - - 153.6 O - - 900 110 P - 36 - 84 Q - - - 140 R 24 51 1368 -

(i) Strike rate =  $$\large\frac{Total runs scored}{ Total balls faced}$$ x 100
(ii) All the given batsmen could bat in all the given matches played by them.
(iii) Few values are missing in the table (indicated by  -- ). A candidate is expected to calculate the missing value, if it is required to answer the given questions, on the basis of the given data and information.

# The respective ratio between total number of balls faced by O and that by Q in the tournament is 5 : 3. Total number of runs scored by Q in the tournament is what percent less than the total number of runs scored by O in the tournament ?

 A) $$\large 21 \frac{3}{11}$$% B) $$\large 25 \frac{9}{11}$$% C) $$\large 29 \frac{1}{11}$$% D) $$\large 27 \frac{5}{11}$$% E) $$\large 23 \frac{7}{11}$$%

 E) $$\large 23 \frac{7}{11}$$%

Total number of balls faced by O = 900

Total number of balls faced by Q = $$900 \times \frac{3}{5} = 540$$

Total number of runs scored by O in the tournament = $$\frac{110 \times 900}{100} = 990$$

Total number of runs scored by Q in the tournament = $$\frac{140 \times 540}{100} = 756$$

Requireed percentage = $$\frac{990 - 756}{990} \times 100$$

= $$\frac{234}{99} \times 10 = 23\frac{7}{11}$$

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