One man can do as much work in one day as a woman can do in 2 days. A child does one third the work in a day as a woman. If an estate-owner hires 39 pairs of hands, men, women and children in the ratio 6 : 5 : 2 and pays them in all Rs. 1113 at the end of the days work. What must the daily wages of a child be, if the wages are proportional to the amount of work done? Pick
A) Rs. 14	B) Rs. 5	C) Rs 20	D) Rs 7	E) None of these
Explanation :   Let work done by a man in one day = x   Then,   work done by a woman in 1 day = x/2.   work done by a child in 1 day = x/6.   estate owner hires total 39 persons   men : women : children = 6:5:2   Number of men = 39 × 6 / 13 = 18   Number of women = 39 × 5 / 13 = 15.   Number of children = 39 × 2 / 13 = 6.   Work done by 18 men in 1 day = 18x   Work done by 15 women in 1 day = 15x/2   Work done by 6 children in 1 day = 6x/6 = x.   Total amount given to 6 children = 1113 × x / ( 18x + 15x/2 + x) = 2226 / (36 + 15 + 2 )= 
<gadget id="calculator">2226 / (36 + 15 + 2 )</gadget>
<output>42</output>
42.   Daily wage of a child= 42 / 6 = Rs. 7.   Answer : Rs 7
<result>D</result>
One man can do as much work in one day as a woman can do in 2 days. A child does one third the work in a day as a woman. If an estate-owner hires 39 pairs of hands, men, women and children in the ratio 6 : 5 : 2 and pays them in all Rs. 1113 at the end of the days work. What must the daily wages of a child be, if the wages are proportional to the amount of work done?