Question
Neha and Pooja started a business by investing in the
ratio 5 : 4, respectively. After 6 months, Neha increased her investment by 40%, whereas Pooja withdrew 25% of her investment. If at the end of 18 months, the profit earned by Neha was Rs. 18,000 more than that by Pooja, then find the total profit earned by the business.Solution
Let investments be Rs. ‘5x’ and Rs. ‘4x’. Ratio of profit shares: = {(5x × 6) + (5x × 7/5 × 12)} : {(4x × 6) + (4x × 3/4 × 12)} = (30x + 84x) : (24x + 36x) = 114x : 60x = 19 : 10 Let total profit = 29y ATQ: 19y - 10y = 18000 Or, y = 2000 Total profit = 29 × 2000 = Rs. 58,000
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