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Select the correct answerP, Q and R started a business by investing Rs. 28000, Rs. 35000 and Rs. 14000 respectively. At the end of a year they got a total profit of Rs. 5225. Find P’s share?OptionsRs. 1900Rs.1700Rs. 2000Rs. 2980

Question

Select the correct answerP, Q and R started a business by investing Rs. 28000, Rs. 35000 and Rs. 14000 respectively. At the end of a year they got a total profit of Rs. 5225. Find P’s share?OptionsRs. 1900Rs.1700Rs. 2000Rs. 2980

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Solution

The share of each person's profit in a business partnership is proportional to their investment in the business.

Step 1: Calculate the total investment. Total investment = P's investment + Q's investment + R's investment Total investment = Rs. 28000 + Rs. 35000 + Rs. 14000 = Rs. 77000

Step 2: Calculate the ratio of each person's investment to the total investment. P's ratio = P's investment / Total investment = Rs. 28000 / Rs. 77000 = 0.3636 (approx) Q's ratio = Q's investment / Total investment = Rs. 35000 / Rs. 77000 = 0.4545 (approx) R's ratio = R's investment / Total investment = Rs. 14000 / Rs. 77000 = 0.1818 (approx)

Step 3: Calculate each person's share of the profit. P's share = Total profit * P's ratio = Rs. 5225 * 0.3636 = Rs. 1900 (approx) Q's share = Total profit * Q's ratio = Rs. 5225 * 0.4545 = Rs. 2375 (approx) R's share = Total profit * R's ratio = Rs. 5225 * 0.1818 = Rs. 950 (approx)

So, P's share of the profit is approximately Rs. 1900. Therefore, the correct answer is Rs. 1900.

This problem has been solved

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