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Out of a total 85 children playing badminton or table tannins or both,total number of girl in the group is 70% 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 numbers of children and a total numbers of children and a total 12 children play badminton and table tennis both. What is the number of girls playing only badminton?

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.


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