Total number of men, women and children working in a factory is 18. They earn Rs. 4000 in a day. If the sum of the wages of all men, all women and all children is in ratio of 18: 10: 12 and if the wages of an individual man, woman and child is in ratio 6: 5: 3, then how much a woman earn in a day?

Explanation:-

Ratio of number of men, women and children,
=(¹⁸/₆) : (¹⁰/₅) : (¹²/₃) = 3 : 2 : 4
Total (Men +Women +Children) = 18
3X +2X +4X = 18
9X = 18
X = 2
Hence, number of women = 2X = 2*2 = 4
Share of all women = ^(10*4000)/₄₀ = Rs. 1000 [18+10+12 =40]
Thus, share of each woman = ¹⁰⁰⁰/₄ = Rs. 250.