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P and Q jointly buy a hotel.P invests 6 times the investment of Q.On receiving profit of Rs. 84000 what will be P’s share in it?Rs.72000Rs.60000Rs.50000Rs.66000

Question

P and Q jointly buy a hotel.P invests 6 times the investment of Q.On receiving profit of Rs. 84000 what will be P’s share in it?Rs.72000Rs.60000Rs.50000Rs.66000

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Solution 1

Let's solve this step by step:

Step 1: Let's assume the investment of Q as x. Therefore, the investment of P will be 6x (since P invests 6 times the investment of Q).

Step 2: The total investment in the hotel is the sum of P's and Q's investments, which is 6x + x = 7x.

Step 3: The share of each person in the profit will be proportional to their investment. So, the share of P in the profit will be (P's investment / total investment) * total profit.

Step 4: Substituting the values, P's share = (6x / 7x) * 84000 = Rs. 72000.

So, P’s share in the profit will be Rs.72000.

This problem has been solved

Solution 2

Let's solve this step by step:

Step 1: Let's assume the investment of Q is x. Therefore, the investment of P will be 6x (since P invests 6 times the investment of Q).

Step 2: The total investment is therefore x + 6x = 7x.

Step 3: The share of P in the total investment is 6x/7x = 6/7.

Step 4: Therefore, P's share in the profit of Rs. 84000 will be (6/7) * 84000 = Rs. 72000.

So, P’s share in the profit will be Rs.72000.

This problem has been solved

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