Explanation

 Let's break down the problem step by step: Initially, the ratios of Mr. A and Mr. B's investments are not given, so let's assume they are A:B. According to the given information, both Mr. A and Mr. B receive a profit of Rs. 5000 each. The new ratio after the profit becomes 18:24. From the given information, we can create an equation based on the ratios and the profit: (A's initial investment) : (B's initial investment) = 18 : 24 (A's initial investment) / (B's initial investment) = 18 / 24 Now, let's represent A's initial investment as 18x and B's initial investment as 24x, where x is a common multiplier. After the profit, the new amounts for Mr. A and Mr. B would be: Mr. A's new amount = A's initial investment + Profit = 18x + Rs. 5000 Mr. B's new amount = B's initial investment + Profit = 24x + Rs. 5000 We are given that the new ratio is 18:24, so: (Mr. A's new amount) : (Mr. B's new amount) = 18 : 24 (18x + Rs. 5000) / (24x + Rs. 5000) = 18 / 24 Cross-multiplying: 18 * (24x + Rs. 5000) = 24 * (18x + Rs. 5000) 432x + 90000 = 432x + 120000 The x terms cancel out, which means that x doesn't affect the equation. This implies that the value of x is not relevant to the final result. Simplifying further: 90000 = 120000