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X 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. 100000RS. 85000RS. 60000RS. 80000RS. 75000

Question

X 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. 100000RS. 85000RS. 60000RS. 80000RS. 75000

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Solution

Let's solve the problem step by step:

  1. Calculate the total capital invested by X, Y, and Z: X invested RS. 30000 Y invested RS. 50000 Z invested RS. 70000

    Total capital = RS. 30000 + RS. 50000 + RS. 70000 = RS. 150000

  2. Calculate X's share of the profit: X is the manager and receives 10% of the total profit. X received RS. 28000, which is 10% of the total profit.

    Let's assume the total profit is P. 10% of P = RS. 28000 (10/100) * P = RS. 28000 P = RS. 28000 * (100/10) P = RS. 280000

  3. Calculate the remaining profit to be divided among X, Y, and Z based on their capital ratio: Total capital = RS. 150000 X's capital = RS. 30000 Y's capital = RS. 50000 Z's capital = RS. 70000

    X's share of the profit = (X's capital / Total capital) * Total profit X's share = (RS. 30000 / RS. 150000) * RS. 280000

    Y's share of the profit = (Y's capital / Total capital) * Total profit Y's share = (RS. 50000 / RS. 150000) * RS. 280000

    Z's share of the profit = (Z's capital / Total capital) * Total profit Z's share = (RS. 70000 / RS. 150000) * RS. 280000

  4. Calculate the total profit: Total profit = X's share + Y's share + Z's share

Now, let's calculate the total profit:

X's share = (RS. 30000 / RS. 150000) * RS. 280000 Y's share = (RS. 50000 / RS. 150000) * RS. 280000 Z's share = (RS. 70000 / RS. 150000) * RS. 280000

Total profit = X's share + Y's share + Z's share

After calculating the above values, we can determine the correct option for the total profit.

This problem has been solved

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