Two merchants A and B enter into partnership. A puts in Rs. 23,750 and at the end of four months adds Rs. 3,750 to his capital, while B withdraws Rs. 3,000 at the end of seven months. At the end of year, A and B received equal profit, B puts in beginning……….
Solution
Correct Answer: Option B
A’s investment in partnership is 23,750 for 4 months each.
Since, he added Rs.3750 after 4 months.
So, A’s investment in the partnership is (23750 + 3750) = 27,500 for 8 months each
Similarly Let B’s share in partnership is x for 7 months and (x - 3,000) for next 5 months as he withdraws 3000 after seven months.
Ratio of shares = Ratio of (their investments × number of months)
So ratio of investments = (23,750 × 4 + 27,500 × 8) : (x × 7 + (x - 3,000) × 5) = 315,000 : (12x - 15,000)
A’s share in profit = B’s share
∴ 315,000 = 12x - 15,000
∴ 12x = 330,000
\(\Rightarrow x = \frac{{330,000}}{{12}} = Rs.\;27,500\)
Practice More Questions on Our App!
Download our app for free and access thousands of MCQ questions with detailed solutions