Question : A and B invest in a business in a ratio of 4 : 5. After 10 months, B leaves the business after withdrawing his investment. In the first year, the business made a profit of Rs. 49,000. What is B's share (in Rs.) in this profit?
Option 1: 25,000
Option 2: 20,000
Option 3: 18,000
Option 4: 22,000
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Correct Answer: 25,000
Solution : A and B invest in a business in a ratio of 4 : 5. Let the investment of A and B be 4$x$ and 5$x$ respectively. Profit ratio of A and B = (capital of A × time period of A) : (capital of B × time period of B) = (4$x$ × 12) : (5$x$ × 10) = 48 : 50 = 24 : 25 Since the total profit = Rs. 49000, So, the share of B = $\frac{25}{(24+25)}$ × 49000 = $\frac{25}{49}$ × 49000 = Rs. 25000 Hence, the correct answer is 25,000.
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Question : Two businessmen A and B, invest in a business in the ratio of 5 : 8. They decided to reinvest 30% of the profit they earned back into the business. The remaining profit they distributed amongst themselves. If A's share of the profit was Rs. 87,500, then how much profit (in Rs.) did the business make?
Option 1: 2,27,000
Option 2: 2,50,000
Option 3: 3,75,000
Option 4: 3,25,000
Question : A and B invested money in a business in the ratio of 7 : 5. If 15% of the total profit goes to charity and A's share in the profit is Rs. 5,950, then what is the total profit?
Option 1: Rs. 12,500
Option 2: Rs. 12,000
Option 3: Rs. 10,500
Option 4: Rs. 11,750
Question : A, B, and C invest to start a restaurant. The total investment is Rs. 3 lakhs. B invested Rs. 50,000 more than A and C invested Rs. 25,000 less than B. If the profit at the end of the year was Rs.14,400, then what is C's share of the profit (in Rs.)?
Option 1: 3600
Option 2: 4800
Option 3: 6000
Option 4: 7200
Question : A and B jointly made a profit of Rs. 1,650 and they decided to share it such that $\frac{1}{3}$ of A's profit is equal to $\frac{2}{5}$ of B's profit. Then the profit of B is:
Option 1: Rs. 700
Option 2: Rs. 750
Option 3: Rs. 850
Option 4: Rs. 800
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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