6 men earn as much as 7 women, 2 women earn as much as 3 boys, 4 boys earn as much as 5 girls. If 5 girls earn Rs. 400 a week, how much does a man earn in a week?
- ARs. 195
- BRs. 175
- CRs. 200
- DRs. 180
Solution & Step-by-step Explanation
Let the weekly earnings of a man, a woman, a boy, and a girl be M, W, B, and G respectively.
From the question, we have the following relationships:
6M=7W⟹M=
6
7
W
2W=3B⟹W=
2
3
B
4B=5G⟹B=
4
5
G
Given that 5 girls earn Rs. 400 a week:
5G=400⟹G=80
Now, substitute the value of G to find B:
B=
4
5
×80=100
Substitute the value of B to find W:
W=
2
3
×100=150
Substitute the value of W to find M:
M=
6
7
×150=7×25=175
Thus, a man earns Rs. 175 in a week.
From the question, we have the following relationships:
6M=7W⟹M=
6
7
W
2W=3B⟹W=
2
3
B
4B=5G⟹B=
4
5
G
Given that 5 girls earn Rs. 400 a week:
5G=400⟹G=80
Now, substitute the value of G to find B:
B=
4
5
×80=100
Substitute the value of B to find W:
W=
2
3
×100=150
Substitute the value of W to find M:
M=
6
7
×150=7×25=175
Thus, a man earns Rs. 175 in a week.