Out of a total of 15 members of a cricket team, 10 are batsman and 4 are wicketkeepers. Bowlers are twice of wicketkeepers. If out of total bowler, 6 are those who are either batsman or wicketkeeper but not both, then what percent of total batsman of the team can also do bowling and wicketkeeping?
Out of a total of 15 members of a cricket team, 10 are batsman and 4 are wicketkeepers. Bowlers are twice of wicketkeepers. If out of total bowler, 6 are those who are either batsman or wicketkeeper but not both, then what percent of total batsman of the team can also do bowling and wicketkeeping? Correct Answer 20%
GIVEN:
Out of a total of 15 members of a cricket team, 10 are batsman and 4 are wicketkeepers.
Bowlers are twice of wicketkeepers and out of total bowler, 6 are those who are either batsman or wicketkeeper but not both.
CONCEPT:
Venn diagram
CALCULATION:
Total batsman = 10
Total wicket-keeper = 4
⇒ Total bowler = 4 × 2 = 8
Total bowlers who are both batsman and wicketkeeper = 8 – 6 = 2
[ alt="F1 Maanik.G 30-07-2020 Savita D7" src="//storage.googleapis.com/tb-img/production/20/08/F1_Maanik.G_30-07-2020_Savita_D7.png" style="width: 215px; height: 213px;">
∴ Required percent = (2/10) × 100
= 20%