Three friends have started a business by investing Rs. 8,000, Rs. 10,000, and Rs. 12,000 respectively. They also took an amount as a bank loan. At the end of one year, they made a profit of Rs. 13,400. After paying the annual bank installment of Rs. 5,000, they divided the remaining money of the profit among themselves in the ratio of their capitals. Calculate the profit share of each.
Capitals Ratio = ₹8,000 : ₹10,000 : ₹12,000
= 4 : 5 : 6
Sum of Ratio = 4x + 5x + 6x = 15x
Total profit = ₹13,400
Bank installment = ₹5,000
Profit to share = ₹13,400 − ₹5,000 = ₹ 8,400
Profit share of Partner 1 = \frac{4x}{15x} × ₹ 8,400 = ₹ 2,240
Profit share of Partner 2 = \frac{5x}{15x} × ₹ 8,400 = ₹2,800
Profit share of Partner 3 = \frac{6x}{15x} × ₹ 8,400 = ₹3,360
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