Question
Priya and Arjun put in Rs. 2800 and Rs. 4200
respectively. They split 50% of the profit equally and distribute the rest according to their investments. If Arjun gets Rs. 200 more than Priya, what is the total profit (in Rs.)?Solution
ATQ, Ratio: Priya : Arjun = 2800 : 4200 = 2 : 3 Let, total profit be Rs. 4x. Equal part per person = x. From the ratio part (2x): Priya = (2/5)·2x = 4x/5, Arjun = (3/5)·2x = 6x/5 Totals: Priya = x + 4x/5 = 9x/5 Arjun = x + 6x/5 = 11x/5 Difference: (11x/5) − (9x/5) = (2x/5) = 200 ⇒ x = 500 Total profit = 4x = Rs. 2000
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