A school consisting of a total of 1560 students have boys and girls in the ratio of 7:5 respectively. All the students are enrolled in different type of hobby classes, viz.. Singing, Dancing and Painting. One fifth of the boys are enrolled in only Dancing classes. Twenty per cent of the girls are enrolleed in only Painting classes. Ten percent of the girls are enrolled in only Singing classes. Twenty- four per cent of the girls are enrolled in both Singing Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same. One-therteenth of the boys are enrolled in all the three classes together. the respective ratio of boys enrolled in Dancing and Painting classes together.The respective ratio of boys enrolled in the same is 2:1 respectively. Ten per cent of the girls are enrolled in both Dancing classes whereas eight per cent of girls are enrolled in both Dancing and Painting classes together. the remaining girls are enrolled in all the three classes together. The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same. The remainig boys are enrolled in only Painting classes.
Waht is total number of boys who are enrolled in Dancing ?

Options

A. `38.67`
B. `35.71`
C. `41.83`
D. `28.62`

Answer

B

Explanation

Number of boys =910 and
Number of girls =650

Note Number in bold represents Boys
Required `%=(65xx100)/(182)=35.71%`