Question

In a coaching institute, there are 80 mathematics teachers, 60 English teachers, 100 physics teachers, and 40 chemistry teachers. The ratio of male to female mathematics teachers in the institute is 3:1, and the ratio of male to female English teachers is 2:1. Within the physics department, the number of male teachers exceeds the number of female teachers by 20. Furthermore, half of the teachers in the chemistry department are male. Determine the ratio of the total number of male to female teachers in the institute.

Q: Answer-In a coaching institute, there are 80 mathematics teachers, 60 English teachers, 100 physics teacher...

ATQ, we can say that Male Mathematics Teachers 80 60 Female Mathematics Teachers 80 20 Male English Teachers 23 60 40 Female English Teachers 13 60 20 Male Teachers in Physics 40 20 60 Female Teachers in Physics 40 Male Teachers in Chemistry 402 20 Female Teachers in Chemistry 402 20 Required ratio 60 40 60 2020 20 40 20 180100 95