Question

Out of a total 85 children playing badminton or table tennis
or both, 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. What is
the number of girls playing only badminton?​

Answer 1

Correct Answer

14 ✔️

Explanation

Let the number of boys = x

then x + 7x/10 = 85

? x = 50

? No. of girls = 85 - 50 = 35

(i) Number of boys playing only badminton =50% of boys

= 50/100 x 50 = 25

(ii) Number of children playing only table tennis

= 40% of total no. of children

= 40/100 x 85 = 34

(iii) Total no. of children playing both badminton and table tennis = 12

Hence, number of girls playing only badminton = 85 - (25 + 34 + 12)

= 85 - 71 = 14.