Question : A and B start an enterprise together, with A as an active partner. A invests Rs. 4000 and Rs. 2000 more after 8 months. B invests Rs. 5000 and withdraws Rs. 2000 after 9 months. Being the active partner, A takes Rs 100 per month as an allowance from the profit. What is the share of B if the profit for the year is Rs. 6700?
Option 1: Rs. 3350
Option 2: Rs. 3250
Option 3: Rs. 2700
Option 4: Rs. 2800
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Correct Answer: Rs. 2700
Solution :
The ratio of profits of A and B = (capital of A × time period of A) : (capital of B × time period of B)
= (4000 × 8 + 6000 × 4) : (5000 × 9 + 3000 × 3)
= 56000 : 54000
= 28 : 27
Total profit = Rs. 6700
Active partner allowance = 12 × 100 = Rs. 1200
So, the remaining profit = 6700 – 1200 = Rs. 5500
Profit of B = $\frac{27}{28 + 27}$ × 5500 = $\frac{27}{55}$ × 5500 = Rs. 2700
Hence, the correct answer is Rs. 2700.
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