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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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