Question
X, Y, and Z invested ₹1,20,000, ₹1,50,000, and
₹1,80,000, respectively, in a partnership business. The annual profit was ₹1,50,000. If X withdrew ₹20,000 after 6 months, what is X’s share of the profit?Solution
X's capital for the first 6 months = ₹1,20,000 X's capital for the next 6 months = ₹1,00,000 Y's and Z’s capitals remain constant. Effective capital of X = (1,20,000 × 6) + (1,00,000 × 6) = ₹1,32,000 Effective capital of Y = 1,50,000 × 12 = ₹18,00,000 Effective capital of Z = 1,80,000 × 12 = ₹21,60,000 Ratio of capitals = 1,32,000 : 18,00,000 : 21,60,000 = 11 : 150 : 180 X’s share of profit = (11/341) × 1,50,000 = ₹4,817.01 Correct Option: d)
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