Out of 85 children playing badminton or table tennis or both the total number of girls in the group ...........

Quantitative Aptitude (CDS) Percentage

Out of 85 children playing badminton or table tennis or both, the total number of girls in the group is 70% of the total number of boys in the group. The number of boys playing only badminton is 50% of the number of boys and the total number of boys playing badminton is 60% of the total number of boys. The number of children playing only table tennis is 40% of the total number of children and a total of 12 children play badminton and table tennis both. The number of girls playing only badminton is

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Explanation:

Let total number of boys = x
Let total number of girls = 70% of x = 0.7x
Total = x + 0.7x
85 = 1.7x
x = 50
Number of boys = 50
Number of girls = 0.7 x 50 = 35
Number of boys playing only badminton = 50% of 50 = 25
No. of children playing TT only = 40% of 85 = 34
No. of children playing both = 12

No. of girls playing only Badminton = Total students – Boys playing only Badminton –Children playing both games - Children playing only TT
= 85 - 25 - 12 - 34 = 14