Latest exam Aptitude Question SOLUTION: rs 180 is to be divided among 66 men and women the sum of men's share and women's share is 5:4 ratio but their individual shares are 3:2 respectively.the number of men's are

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rs 180 is to be divided among 66 men and women the sum of men's share and women's share is 5:4 ratio but their individual shares are 3:2 respectively.the number of men's are

Asked In exam sunitha (8 years ago)

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Devendra Marghade  (8 years ago)

30 men

As sum of mes's share and women's share in Rs. 180 is 5:4, so total men gets 180*5/9=100 Rs. and total women gets 180*4/9=80 Rs.
Here men+women=66, so if men=m then women=66-m
As individual share of men & women=3:2, if each men gets '3x' & women gets '2x', then
Men's total amount=m*3x=100 or m*x=100/3 ---(i)
Similarly women's total amount=(66-m)*2x=80 ,132x-2m*x=80 ---(ii)
Substituting m*x=100/3 from (i), 132x-(200/3)=80, x=10/9
On substituting x=10/9, in (i), m=30, so women=66-30=36

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