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The average salary of all employes of a company is Rs. `5000`. The average salary of male is Rs. `5200` and the average salary of female is Rs. `4200`. How much percentage of male are in the company?

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To solve the problem, we will use the method of alligation to find the percentage of male employees in the company. ### Step-by-Step Solution: 1. **Identify the Given Data:** - Average salary of all employees (A) = Rs. 5000 - Average salary of male employees (M) = Rs. 5200 - Average salary of female employees (F) = Rs. 4200 2. **Set Up the Alligation:** - We will use the alligation formula to find the ratio of male to female employees. - The formula for alligation is: \[ \text{Ratio of Male to Female} = \frac{F - A}{M - A} \] 3. **Calculate the Differences:** - Calculate \(F - A\): \[ F - A = 4200 - 5000 = -800 \] - Calculate \(M - A\): \[ M - A = 5200 - 5000 = 200 \] 4. **Set Up the Ratio:** - Now we can set up the ratio: \[ \text{Ratio of Male to Female} = \frac{-800}{200} \] - Since we are interested in the absolute values for the ratio: \[ \text{Ratio of Male to Female} = \frac{800}{200} = 4 \] 5. **Express the Ratio:** - This means for every 4 males, there is 1 female. Hence, the ratio of males to females is 4:1. 6. **Calculate the Total Parts:** - Total parts = 4 (males) + 1 (female) = 5 parts. 7. **Calculate the Percentage of Males:** - Percentage of males in the company: \[ \text{Percentage of Males} = \left(\frac{\text{Number of Males}}{\text{Total Employees}}\right) \times 100 = \left(\frac{4}{5}\right) \times 100 = 80\% \] ### Final Answer: The percentage of males in the company is **80%**. ---
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