Multiple choice

There are $68$ employes in a office of class $-1$, class $-2$ and class $-3$ who are in the ratio of $5:10:2$ respectively. Their total salary is $Rs 400000$ which is in the ratio of $2:3:5$ respectively. What is the salary of employee of class $-3$?

  1. $25000$
  2. $4000$
  3. $10000$
  4. $6000$
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A Correct answer
Explanation

The employee ratio 5:10:2 totals 17 parts, so class 3 has 8 employees. The salary ratio 2:3:5 gives class 3 a total salary of 5/10 × Rs. 400000 = Rs. 200000. Each class 3 employee earns Rs. 200000/8 = Rs. 25000.

AI explanation

Let the number of class-1, class-2, and class-3 employees be 5x, 10x, and 2x, and let their respective total salaries be 2y, 3y, and 5y. The total number of employees gives 5x + 10x + 2x = 68, so 17x = 68 and x = 4; therefore, the number of class-3 employees is 2(4) = 8. The total salary gives 2y + 3y + 5y = 400000, so 10y = 400000 and y = 40000; therefore, the total salary for class-3 is 5(40000) = Rs. 200000. Dividing the class-3 total salary by its number of employees gives the individual salary: 200000 / 8 = Rs. 25000. The result is 25000.

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