Question
X and Y opened a joint venture by investing Rs. 1200 and
Rs. ‘k’ respectively. Y left the business after 6 months. If X got Rs. 5400 from the total profit of Rs. 8100, then what is the value of ‘k’?Solution
ATQ,
Investment ratio = 1200 : k
Profit ratio = (1200 × 12) : (k × 6) = 14400 : 6k = 2400 : k
(2400 / (2400 + k)) × 8100 = 5400
(2400 / (2400 + k)) = 2 / 3
2400 × 3 = 2(2400 + k)
7200 = 4800 + 2k
2k = 2400
k = 1200
So, the value of ‘k’ is Rs. 1200
The amount of purchase if
Cost of Goods Sold = ₹80,700
Opening Inventory = ₹5,800
Closing Inventory = ₹6,000
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