Question
Seema and Reena started a business by investing in the
ratio 6 : 5, respectively. After 6 months, Seema increased her investment by 50%, whereas Reena withdrew 20% of her investment. If at the end of 18 months, the profit earned by Seema was Rs. 18,000 more than that by Reena, then find the total profit earned by the business.Solution
Let investments be Rs. ‘6x’ and Rs. ‘5x’. Ratio of profit shares: = {(6x × 6) + (6x × 3/2 × 12)} : {(5x × 6) + (5x × 4/5 × 12)} = (36x + 108x) : (30x + 48x) = 144x : 78x = 24 : 13 Let total profit = 37y ATQ: 24y - 13y = 22000 Or, y = 2000 Total profit = 37 × 2000 = Rs. 74,000
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