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?
Total runs scored by a cricketer =120
(i)Number of runs from sixes (6's)=20% of 120=20×120100=24
∴ Number of 6's =246=4
(ii)Number of runs from fours (4's)=30% of 120
=30×120100=36
∴ Number of 4's =364=9
(iii)Number of runs from 2's =25% of 120
=25×120100=30
∴ Number of 2's =302=15
(iv)Number of singles =120-(24+36+30)
=120-90=30
Percentage =30×100120=25%