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      Question

      The average salary of 12 employees in a company is

      Rs.45,000 per year. When two new employees, Alice and Bob, join the company, their salaries being in the ratio of 11:9, the overall average salary increases by Rs.3,000. What is the salary difference between Alice and Bob?
      A 14,220 Correct Answer Incorrect Answer
      B 12,250 Correct Answer Incorrect Answer
      C 13,200 Correct Answer Incorrect Answer
      D 15,000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Total salary of 12 employees = (45,000 ร— 12) = 540,000Total salary of 14 employees = (48,000 ร— 14) = 672,000 Total salary of โ€˜Aliceโ€™ and โ€˜Bobโ€™ = (672,000 โ€“ 540,000) = 132,000 Let the salaries of โ€˜Aliceโ€™ and โ€˜Bobโ€™ be โ€˜11xโ€™ and โ€˜9xโ€™, respectively. So, (11x + 9x) = 132,000Or, 20x = 132,000 Or, x = 6,600 Therefore, required difference = (11x โ€“ 9x) = 2x = 13,200

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