Question

$\%$ 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?

• A. 17
• B. 14
• C. 16
• D. Data inadequate

Answer 1

Answer: (B)

14

Answer 2

Total no. of children = 85
Given, total no. of girls = 70$\%$ of total no. of boys
⇒ 85 - Total no. of boys = 0.7$\times$Total no. of boys
⇒ Total no. of boys $=\frac{85}{1.7}=50$
Now,
No. of children playing only table tennis = 40$\%$ of 85 = 34
No. of children playing badminton & table tennis both = 12
⇒ No. of children playing only badminton = 85-34-12 = 39
$\therefore$ No. of boys playing only badminton = 50$\%$ of No. of boys = 0.5$\times$50 = 25
$\therefore$ No. of girls playing only badminton = 39-25 = 14
The correct option is (B): 14