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) \(\large 23 \frac{7}{11} \)%

Correct answer:
E) \(\large 23 \frac{7}{11} \)%

Description for Correct answer:
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 = \( \frac{990 - 756}{990} \times 100 \)

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


Please provide the error details in above question