Question
G, L, and M initiated a Construction Materials business
with investments of Rs. 4500, Rs. 2700, and Rs. 3600, respectively. After 3 months, G and M each added Rs. 900 to their initial investments. At the conclusion of 9 months, L, functioning as a working partner, received a commission of 10% of the profit. The remaining profit was distributed among all three partners based on their investments. If L's total share amounted to Rs. 7260, determine the total profit received by all three partners.Solution
ATQ, Ratio of the profits received G, L and M {(4500 × 3) + (4500 + 900) × 6}:(2700 × 9):{(3600 × 3) + (4500 × 6)} = 17:9:14 Let the total profit received by G, L and M together be Rs.'a' According to the question, 10% of a + (9/40) × 90% of a = 7260 Or, 0.1a + 0.2025a = 7260 Or, 0.3025a = 7260 Or, a = 7260/0.3025 = 24000 Therefore, total profit received by G, L and M together = Rs.24000
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