Question
Aisha and Rohan start a business investing Rs. 5400 and
Rs. 3600. They agree that 50% of the profit is shared equally and the rest in the ratio of their investments. If Aisha gets Rs. 100 more than Rohan, find the total profit (in Rs.).Solution
ATQ, Ratio of profit share: Aisha : Rohan = 5400 : 3600 = 3 : 2 Let, total profit be Rs. 4x. Equal part per person = x. Share from ratio part (2x): Aisha = (3/5)×2x, Rohan = (2/5)×2x Total received: Aisha = x + (3/5)·2x = x + 6x/5 = 11x/5 Rohan = x + (2/5)·2x = x + 4x/5 = 9x/5 According to question, (11x/5) − (9x/5) = 100 ⇒ (2x/5) = 100 ⇒ x = 250 Therefore, total profit = 4x = Rs.1000
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