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The initial investment of C is Rs. 1000 less than the average of the initial investment of A and B together. initial investment of C = [(z-2000)+(z+4000)]/2 - 1000 = [2z+2000]/2 - 1000 = z+1000-1000 = z The ratio between the investment of A, B and C with respect to the time = (z-2000)x12 : (z+4000)x4 : zx8 = (z-2000)x3 : (z+4000) : zx2 The ratio between the profits of B and C is 5:8 respectively. (z+4000)/2z = 5/8 (z+4000)/z = 5/4 4z+16000 = 5z 5z-4z = 16000 z = 16000 Required percentage = [(z-2000)/z]x100 = [(16000-2000)/16000]x100 = [14000/16000]x100 = 14000/160 = 87.5%
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