Question

A cricketer hits 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 runs scored by a cricketer =120

(i)Number of runs from sixes (6's)=20% of $120=\frac{20\times 120}{100}=24$

$\therefore$ Number of 6's $=\frac{24}{6}=4$

(ii)Number of runs from fours (4's)=30% of 120

$=\frac{30\times 120}{100}=36$

$\therefore$ Number of 4's $=\frac{36}{4}=9$

(iii)Number of runs from 2's =25% of 120

$=\frac{25\times 120}{100}=30$

$\therefore$ Number of 2's $=\frac{30}{2}=15$

(iv)Number of singles =120-(24+36+30)

=120-90=30

Percentage $=\frac{30\times 100}{120}=25\%$