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      Question

      The ratio of the salaries of Amit, Raj, and Dev is

      5:6:7 respectively. Sumit’s salary is 10 rupees less than Amit’s. If the difference between Dev and Amit's salary is 30 rupees, find the ratio of Raj’s salary to Sumit’s salary.
      A 15:13 Correct Answer Incorrect Answer
      B 18:13 Correct Answer Incorrect Answer
      C 13:18 Correct Answer Incorrect Answer
      D 17:14 Correct Answer Incorrect Answer

      Solution

      Let their salaries be 5x, 6x, and 7x respectively. 
      So, Sumit's salary = 5x - 10
      ATQ, 
      7x - 5x = 30 
      Or, 2x = 30 
      Or, x = 15
      So, Raj’s salary = 6 × 15 = 90 
      And, Sumit’s salary = 5 × 15 - 10 = 75 - 10 = 65
      Required ratio = 90:65 = 18:13 

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