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Question

Rekha, Sanjay, and Poonam invest ₹1,320, ₹1,170, and ₹1,660, respectively, to start a business. If the profit at the end of the year is ₹1,010, then what is the share of Poonam in the profit?

The correct answer is
₹404

The correct answer is ₹404.

Step-by-Step Explanation

In a partnership, profit is distributed in the ratio of the investments made by the partners when the time period is the same.

1. Calculate the Total Investment:

Rekha's Investment = ₹1,320

Sanjay's Investment = ₹1,170

Poonam's Investment = ₹1,660

Total Investment = $1,320 + 1,170 + 1,660 = \mathbf{₹4,150}$

2. Determine the Ratio of Poonam's Investment:

Poonam's share ratio = $\frac{\text{Poonam's Investment}}{\text{Total Investment}} = \frac{1,660}{4,150}$

3. Calculate Poonam's Share of the Profit:

Total Profit = ₹1,010

Poonam's Share = $\frac{1,660}{4,150} \times 1,010$

Poonam's Share = $\frac{166}{415} \times 1,010$

Poonam's Share = $0.4 \times 1,010 = \mathbf{₹404}$

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Important Questions from Partnership

  1. M and N start a business. M invests ₹68,000 more than N for 4 months and N invests for 7 months. M's share is ₹856 more than that of N, out of a total profit of ₹6,848. Find the capital contributed by M.
  2. Kushal and Brijesh together invested ₹37,100 in a business. At the end of the year, out of a total profit of ₹12,000, Brijesh's share was ₹5,700. What was the difference between their investments?
  3. M and N start a business. M invests ₹79,000 more than N for 7 months and N invests for 6 months. M's share is ₹745 more than that of N, out of a total profit of ₹6,705. Find the capital contributed by M.

  4. Ritik and Sanjay together invested ₹79,200 in a business. At the end of the year, out of a total profit of ₹16,500, Sanjay's share was ₹3,600. What was the difference between their investments?
  5. P, Q and R invested a sum in the ratio of 34: 75: 6, respectively. If they earned a total profit of ₹3,600 at the end of the year, what is the difference between the shares of Q and R?
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