Discussion Forum



Directions:  Refer to the table and answer the questions that follow:

Data related to the performance of 6 batsmen in a tournament:

1522021808_Tabulation 13.JPG

Note: (i) Strike rate = (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 question, on the basis of the given data and information.

 

 

 

1)

The respective ratio between total number of balls faced by D and that by F in the tournament is 3 : 4.Total number of runs scored by F in the tournament is what percent more than the total runs scored by D in the tournament ?


A) 22 $\frac{2}{9}$

B) 32 $\frac{4}{9}$

C) 18 $\frac{8}{9}$

D) 24 $\frac{4}{9}$

E) 28 $\frac{2}{9}$

Answer:

Option A

Explanation:

Let the total number of balls faces by D = 3x and the total number of balls faced by F = 4x.According to the question, the total number of runs made by D.

= $\frac{72\times3x}{100}$ = $\frac{216x}{100}$

The total number of runs made by F

= $\frac{66\times4x}{100}$ = $\frac{264x}{100}$

The more runs made by F as compare to D

= $\frac{264x}{100}$ - $\frac{216x}{100}$ × $\frac{48x}{100}$

So, the percentage of more runs

= $\frac{\frac{48x}{100}}{\frac{216x}{100}}\times 100-\frac{48x}{100}$ × $\frac{100}{216x}$ × 100 = $\frac{200}{9}$

= 22 $\frac{2}{9}$.