Problem Solving

Q: In a nut-bolt factory 180 workers are working for 6 hours a day. Out of 180 workers there are some men, some women and rest are boys. All the workers can produce either nut or bolt or both of them. A man can produce 60 nuts and 80 bolts in each hour and a woman can produce 30 nuts and 60 bolts per hour. A man is thrice as efficient as a boy and 3/2 times as effiient as a woman. Given that all men, all woman and all boys produce equal number of articles of one kind ( i.e either nut or bolt ) per hour. Working 6 hours a day , how many nuts they can produce with 52500 bolts in each day ?

a) 17500

b) 26250

c) 50580

d) 61250

e) 70560

OA[spoiler]c)50580[/spoiler]