Multiple choice

The ratio of salaries of two employees is 2 : 5. Their expenses are in the ratio 1 : 3. What is the income of the second employee (in rupees) if the savings of both of them is Rs. 50?

  1. 300

  2. 600

  3. 500

  4. 400

  5. 260

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Salaries 2x, 5x. Expenses 1y, 3y. Savings: 2x - y = 50 and 5x - 3y = 50. Multiply first by 3: 6x - 3y = 150. Subtract second: (6x - 3y) - (5x - 3y) = 150 - 50, so x = 100. Second employee salary = 5x = 500.

AI explanation

Let the incomes of the two employees be 2x and 5x, and their expenses be 1y and 3y respectively. Since both employees save 50 rupees, we can set up the equations 2x - 1y = 50 and 5x - 3y = 50. Multiplying the first equation by 3 gives 6x - 3y = 150, and subtracting the second equation from this yields x = 100. The income of the second employee is 5x, so substituting x gives 5 * 100 = 500 rupees.