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?Solution
ATQ, Total salary of 12 employees = (45,000 × 12) = 540,000Total salary of 14 employees = (48,000 × 14) = 672,000 Total salary of ‘Alice’ and ‘Bob’ = (672,000 – 540,000) = 132,000 Let the salaries of ‘Alice’ and ‘Bob’ be ‘11x’ and ‘9x’, respectively. So, (11x + 9x) = 132,000Or, 20x = 132,000 Or, x = 6,600 Therefore, required difference = (11x – 9x) = 2x = 13,200
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