In a college out of 600 students, boys and girsl are in the ratio 8:7 Each students went to either physics lab or both, 40% of the boys attend only physisc lab, total 20% children went to both the labs out of which 25% are boys, 45% of the girsl went to only chemistry lab.
Total number of students went to only physics lab is what percentage of the total number of students in the colelge

Options

A. 175
B. 158
C. 156
D. 134

Answer

B

Explanation

`8:7=320 ("boys") :280 ("girls")`
20% both =`20xx(600)/(100)=120`
`B-(phy) =40xx(320)/(100)=128`
B-(both) = `25xx(120)/(100)=30`
G-(chem) `45xx(280)/(100)=126`
Total no of boys (phy) `=128+30=158`