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In a school out of 250 students studying in class IX, boys & girls are in the ratio of 2 : 3 respectively. Each student likes to play one or more of the games Badminton Table Tennis & Foot Ball. 19% of the boys & 16% of the girls play only Badminton. 11 % of the boys &18% of the girls play only Table Tennis and 16% of the boys &12% of the girls play only Foot Ball. 15% of the boys & 18% of the girls play Badminton as well as Table Tennis. 17% of the boys & 14% of the girls play& Badminton as well as Foot Ball. 15% of the boys & 16% of the girls play table tennis as well as FootBall. Remaining boys & girls play all three games.
How many girls play Badminton as well as Table Tennis?
Explanation:
Total = 250
Boys and Girls ratio = 2:3
Boys :-
Total boys = 100
Only Badminton = (19*100)/100=19
Only Table Tennis = (11*150)/100=11
Only Badminton = (16*100)/100=16
Badminton and Tennis = (15*100)/100=15
Badminton and Football = (17*100)/100=17
Table Tennis and Football = (15*100)/100=15
All 3 played boys = 100-93=7
Girls :-
Only Badminton = (16*150)/100=24
Only Table Tennis = (18*150)/100=27
Only Football = (12*150)/100=18
Badminton and Tennis = (18*150)/100=27
Badminton and Football = (14*150)/100=21
Table Tennis and Football = (16*150)/100=24
All 3 played boys = 150-141=9
Girls playing Badminton as well as Table Tennis = 27+9=36
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By: Amit Kumar