X, Y & Z commence a business in partnership. X puts in Rs. $20,000$ for the whole year. Y introduced Rs. $30,000$ and increases it Rs. $40,000$ at the end of four months but withdraws Rs. $10,000$ at the end of eight month. Z brings Rs. $50,000$ at first, but withdraws Rs. $15,000$ at the end of six months. Calculate the profit sharing ratio based on effective capital.
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