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Select the correct answerX Y and Z Started a business with RS. 30000, RS.50000 and RS. 70000 respectively .X as Manager is to receive 10% of the total profit and the rest is to be divided among the three in their capital’s ratio. If the total amount received by X was RS. 28000. Find the total profit.OptionsRS. 85000RS. 75000RS. 60000RS. 100000RS. 80000

Question

Select the correct answerX Y and Z Started a business with RS. 30000, RS.50000 and RS. 70000 respectively .X as Manager is to receive 10% of the total profit and the rest is to be divided among the three in their capital’s ratio. If the total amount received by X was RS. 28000. Find the total profit.OptionsRS. 85000RS. 75000RS. 60000RS. 100000RS. 80000

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Solution

The problem states that X receives 10% of the total profit plus his share from the remaining profit divided among X, Y, and Z in the ratio of their capital.

Given that X's total amount received is Rs. 28000, we can set up the equation as follows:

0.10 * Total Profit + (Total Profit - 0.10 * Total Profit) * (30000 / (30000 + 50000 + 70000)) = 28000

Solving this equation will give us the total profit.

Let's denote Total Profit as P.

The equation becomes:

0.10 * P + 0.80 * P * (30000 / 150000) = 28000

Solving this equation gives:

0.10 * P + 0.16 * P = 28000

Adding the two parts gives:

0.26 * P = 28000

Finally, solving for P gives:

P = 28000 / 0.26 = Rs. 107692.31

However, this is not an option in the given choices. It seems there might be a mistake in the problem or the options provided.

This problem has been solved

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