Q.In a joint business, both Samar and Mahim initially invested ₹20,000 each. After 6 months, Samar added ₹5,000 to his investment, while Mahim withdrew ₹5,000. If the total profit at the end of the year is ₹32,000, calculate each of their shares of the profit.

Samar’s capital for the first 6 months is ₹20,000 and for the next 6 months it becomes ₹25,000 (₹20,000 + ₹5,000). Mahim’s capital for the first 6 months is ₹20,000 and for the next 6 months it becomes ₹15,000 (₹20,000 - ₹5,000). \(\therefore\) The ratio of Samar’s and Mahim’s capital investments: \([20000 \times 6 + 25000 \times 6] : [20000 \times 6 + 15000 \times 6]\) = \(120000 + 150000 : 120000 + 90000\) = \(270000 : 210000\) = \(27 : 21\) = \(9 : 7\) = \(\cfrac{9}{16} : \cfrac{7}{16}\) [since 9 + 7 = 16] \(\therefore\) Samar’s profit share = ₹32,000 × \(\cfrac{9}{16} = ₹18,000\) Mahim’s profit share = ₹32,000 - ₹18,000 = ₹14,000
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