Question
Ritu and Manav start a partnership with Rs. 3000 and Rs.
4500. 50% of the profit is shared equally; the rest is in the ratio of their investments. If Manav receives Rs. 150 more than Ritu, find the total profit (in Rs.).Solution
ATQ, Ratio: Ritu : Manav = 3000 : 4500 = 2 : 3 Let, total profit be Rs. 4x. Equal part per person = x. From the ratio part (2x): Ritu = (2/5)·2x = 4x/5, Manav = (3/5)·2x = 6x/5 Totals: Ritu = x + 4x/5 = 9x/5 Manav = x + 6x/5 = 11x/5 Difference: (11x/5) − (9x/5) = (2x/5) = 150 ⇒ x = 150 × (5/2) = 375 Total profit = 4x = Rs. 1500
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