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    Question

    Harish decided to distribute Rs.16,250 among his three

    sons Rohit, Ashish and Dinesh such that Ashish would get 1/4th of what Rohit and Dinesh would together get, while Dinesh would get 1/12th of what Rohit and Ashish would together get. What is the difference between Ashish and Rohit's share?
    A Rs.7,000 Correct Answer Incorrect Answer
    B Rs.8,500 Correct Answer Incorrect Answer
    C Rs.6,800 Correct Answer Incorrect Answer
    D Rs.8,800 Correct Answer Incorrect Answer
    E Rs.6,400 Correct Answer Incorrect Answer

    Solution

    Let the amount received (in Rs.) by Ashish, Rohit and Dinesh be x, y and z respectively.

    ∴ x = (y + z)/4

    ∴ 4x = y + z ... (i)

    Similarly, z = (x + y)/12

    ∴ 12z = x + y ... (ii)

    Solving (i) and (ii); 4x − 12z = z − x

    ∴ 5x = 13z i.e. z = 5x/13

    Putting the value of z in (i), y = 47x/13

    ∴ x : y : z = x : 47x/13 : 5x/13 = 13 : 47 : 5

    ∴ Difference between the share of Rohit and Ashish = [(47 − 13)/(13 + 47 + 5)] X 16250

    = (34/65) X 16250 = Rs. 8,500

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