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? Choose the correct choice from the following choices
A) Rs. 120
B) Rs. 150
C) Rs. 250
D) Rs. 400
E) None of these
Solution: 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= 
<gadget id="calculator">2*2</gadget>
<output>4</output>
4   Share of all women= (10*4000)/40 = Rs. 1000 [18+10+12 =40]   Thus, share of each woman = 1000/4 = Rs. 250.   Answer: Option Rs. 250
<result>C</result>
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?