Question

A cricketer hit 120 runs in 150 balls during a test match. 20% of the runs came in 6’s, 30% in 4’s, 25% in 2’s and the rest in 1’s. How many runs did he score in

(i) 6’s

(ii) 4’s

(iii) 2’s

(iv) singles

What % of his shots were scoring ones?

Answer 1

Total number of runs scored by cricketer = 120

i) Number of runs he scored in 6’s \(=\frac{120\times20}{100}\) =24

ii) Number of runs he scored in 4’s \(=\frac{120\times30}{100}\)=36

iii) Number of runs he scored in 2’s \(=\frac{120\times25}{100}\) =30

iv) Number of runs he scored in singles 

 = 120 – (24+36+30) = 120 – 90 = 30

Percentage of shots scoring ones:

\(\frac{Runs\, came\, in\, single\,\times\,100}{Total\, runs\, second}\)\(=\frac{30\times100}{120}\) = 25%