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In a company, the ratio of the number of...

In a company, the ratio of the number of employees of three different types A, B and C is 10:12:8 and their individual wages are in the ratio of 6:8:10. If the number of employees of type B is 60 and the wages of every employee of type B is ₹1600, then what is the total wages of all employees of type A?

A

₹60000

B

₹56000

C

₹62000

D

₹52000

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will follow these instructions: ### Step 1: Understand the Ratios We are given the ratio of employees of types A, B, and C as 10:12:8. This means: - Let the number of employees of type A = 10x - Let the number of employees of type B = 12x - Let the number of employees of type C = 8x ### Step 2: Find the Value of x We know that the number of employees of type B is 60. Therefore: \[ 12x = 60 \] To find x, we divide both sides by 12: \[ x = \frac{60}{12} = 5 \] ### Step 3: Calculate the Number of Employees Now that we have x, we can calculate the number of employees for each type: - Number of employees of type A = \(10x = 10 \times 5 = 50\) - Number of employees of type B = \(12x = 60\) (given) - Number of employees of type C = \(8x = 8 \times 5 = 40\) ### Step 4: Understand the Wages Ratios The wages of employees are given in the ratio of 6:8:10. This means: - Let the wage of an employee of type A = 6y - Let the wage of an employee of type B = 8y - Let the wage of an employee of type C = 10y ### Step 5: Find the Value of y We know that the wage of every employee of type B is ₹1600. Therefore: \[ 8y = 1600 \] To find y, we divide both sides by 8: \[ y = \frac{1600}{8} = 200 \] ### Step 6: Calculate the Wages of Type A Employees Now we can calculate the total wages of all employees of type A: - Wage of one employee of type A = \(6y = 6 \times 200 = 1200\) - Total wages of all employees of type A = Number of employees of type A × Wage of one employee of type A \[ \text{Total wages of type A} = 50 \times 1200 = 60000 \] ### Final Answer The total wages of all employees of type A is ₹60,000. ---
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