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    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’.
    A 70 Correct Answer Incorrect Answer
    B 60 Correct Answer Incorrect Answer
    C 65 Correct Answer Incorrect Answer
    D 80 Correct Answer Incorrect Answer
    E 75 Correct Answer Incorrect Answer

    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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