Question

The number of girls enrolled in only dancing classes is what percent of the boys enrolled in the same? Round off your answer to two digits after the decimal.

• A. $38.67\%$
• B. $35.71\%$
• C. $41.83\%$
• D. $29.62\%$
• E. None of these

Answer 1

The correct option is B $35.71\%$

Total number of boys $=\frac{1560\times 7}{12}=910$
Only in dancing $=\frac{1}{5}\times 910=182$
Only in Singing $=91$
Singing, Dancing and Painting $=910\times \frac{1}{13}=70$
Dancing and Painting $=104$
Singing and Dancing $=\frac{156}{2}=78$
Only in Painting $=385$
Total number of girls $=1560-910=650$
Only in Painting $=\frac{650}{5}=130$
Singing and Dancing $=\frac{650\times 24}{100}=156$
Only in Singing $=2\times 91=182$
Only in Dancing $=65$
Dancing and Painting $=\frac{650\times 8}{100}=52$
Dancing, Singing and Painting $=65$
Required percentage $=\frac{65}{182}\times 100=35.71\%$