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      Question

      Income of Samar is 50% more than the expenditure of

      Tanu. Income of Tanu is 20% more than the expenditure of Samar. If savings of Tanu is Rs. 1,600 less than that of Samar and ratio between expenditure and savings of Samar is 5:2, respectively, then find the income of Tanu.
      A 12000 Correct Answer Incorrect Answer
      B 13200 Correct Answer Incorrect Answer
      C 14400 Correct Answer Incorrect Answer
      D 15600 Correct Answer Incorrect Answer
      E 16800 Correct Answer Incorrect Answer

      Solution

      Let the expenditure of Tanu be Rs. ‘2x’
      So, income of Samar = 2x × (3/2) = Rs. ‘3x’

      Let the expenditure of Samar be Rs. ‘5y’
      So, income of Tanu = 5y × (6/5) = Rs. ‘6y’

      So, savings of Samar = 5y × (2/5) = Rs. 2y

      ATQ;

      3x – 5y = 2y
      Or, 3x = 7y
      Or, x = (7y/3)

      Since, savings of Tanu is Rs. 1,600 less than that of Samar.

      6y – 2x = 2y – 1600
      On putting x = (7y/3):

      6y – 14y/3 = 2y – 1600
      Or, 4y/3 = 2y – 1600
      Or, 2y/3 = 1600 ⇒ y = 2400

      So, income of Tanu = 6 × 2400 = Rs. 14,400

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