A,B, C subscribe a sum of ₹75,500 for a business. A subscribes ₹3,500 more than B, and B subscribes ₹4,500 more than C. Out of a total profit of ₹45,300, how much(in ₹) does A receive?

17,400

 Profit = Investment × Time period

Let x be the investment of C

C = x      ----(1)

B = (x + 4500)      ----(2)

A = (x + 4500 + 3500)      ----(3)

We know that,

x + (x + 4500) + (x + 4500 + 3500) = 75500

 x + (x + 4500) + (x + 8000) = 75500

 3x + 12500 = 75500

 3x = 63000

x = 21000

Put the value of x in equation 1, 2, and 3.

Income of C = 21000

A = 29000

B = 25500

Ratio of Investment is same as Profit ratio .

               A      :     B        :          C

           21000   :  29000    :      25500

                42    :     58      :        51

According to question ,

( 42 + 58 + 51)R = 45300

151R = 45300

1R = 300

Income of A = 42 × 300 = 12600