Question
The total population of villages A and B together is
75000. ‘y’% and (y+15)% of the population of village A and B are working professionals. The ratio between the population of village A and C is 9:10 respectively. If 70% of the population of village C are working professionals which is equal to 35000 and the total non working professionals population of village B and A together is 25500, then find out the value of ‘y’.Solution
If 70% of the population of village C are working professionals which is equal to 35000.
70% of the population of village C = 35000
population of village C = 50000
The ratio between the population of village A and C is 9:10 respectively.
population of village A = (50000/10)x9 = 45000
The total population of villages A and B together is 75000.
population of village B = 75000-45000 = 30000
‘y’% and (y+15)% of the population of village A and B are working professionals. The total non working professionals population of village B and A together is 25500.
45000 of y% + 30000 of (y+15)% = 75000-25500
450 x y + 300 x (y+15) = 49500
3 x y + 2 x (y+15) = 330
3y+2y+30 = 330
3y+2y = 330-30
5y = 300
Value of ‘y’ = 60
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