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ATQ, Let the initial investment of ‘Chetna’ = Rs.‘2a’ Then, initial investment of ‘Bheem’ = Rs.(2a + 2700) Investment of ‘Bheem’ after 16 months = (2a+ 2700)/2 = Rs. (a + 1350) Investment of ‘Chetna’ after 16 months = Rs.(2a + 900) Ratio of profit shares of ‘Bheem’ to that of ‘Chetna’ = [(2a + 2700) × 16 + (a + 1350) × 20]:[(2a × 16) + (2a + 900) × 20] = 26:25 Or, (8a + 10800 + 5a + 6750):(8a + 10a + 4500) = 26:25 Or, (13a + 17550) × 25 = (18a + 4500) × 26 Or, 325a + 438750 = 468a + 117000 Or, 321750 = 143a Or, a = 2250 So, initial investment of ‘Chetna’ = 2a = Rs. 4500 Difference between initial investments of ‘Anjali’ and ‘Chetna’ = 4500 – 3875 = Rs.625
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