Q.Three friends contributed ₹8,000, ₹10,000, and ₹12,000 respectively and started a business by also taking a loan from the bank. At the end of the year, they made a profit of ₹13,400. After repaying the bank’s annual installment of ₹5,000 from the profit, they divided the remaining amount among themselves in proportion to their capital contributions. How much will each of them receive from the remaining profit?

The ratio of the three friends' capital contributions = ₹8,000 : ₹10,000 : ₹12,000 = 4 : 5 : 6 = \(\frac{4}{15}:\frac{5}{15}:\frac{6}{15}\) [∵ 4 + 5 + 6 = 15] Now, after repaying the bank’s annual installment of ₹5,000, Remaining amount = ₹13,400 − ₹5,000 = ₹8,400 From this remaining profit: - The first friend will receive \(\frac{4}{15}\) of ₹8,400 = ₹2,240 - The second friend will receive \(\frac{5}{15}\) of ₹8,400 = ₹2,800 - The third friend will receive \(\frac{6}{15}\) of ₹8,400 = ₹3,360 ∴ The three friends will receive ₹2,240, ₹2,800, and ₹3,360 respectively.
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