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      Question

      Income of Meera is 12.5% more than the expenditure of

      Riya. Income of Riya is 40% more than the expenditure of Meera. If savings of Riya is Rs. 2,000 more than that of Meera and ratio between expenditure and savings of Meera is 5:1, respectively, then find the income of Riya.
      A 18000 Correct Answer Incorrect Answer
      B 19500 Correct Answer Incorrect Answer
      C 22500 Correct Answer Incorrect Answer
      D 24000 Correct Answer Incorrect Answer
      E 21000 Correct Answer Incorrect Answer

      Solution

      Let the expenditure of Riya be Rs. ‘8x’
      So, income of Meera = 8x × (9/8) = Rs. ‘9x’

      Let the expenditure of Meera be Rs. ‘5y’
      So, income of Riya = 5y × (7/5) = Rs. ‘7y’

      So, savings of Meera = 5y × (1/5) = Rs. y

      ATQ;

      9x – 5y = y
      Or, 9x = 6y
      Or, x = (2y/3)

      Since, savings of Riya is Rs. 2,000 more than that of Meera.

      7y – 8x = y + 2000
      On putting x = (2y/3):

      7y – 16y/3 = y + 2000
      Or, 5y/3 = y + 2000
      So, 2y/3 = 2000 ⇒ y = 3000

      So, income of Riya = 7 × 3000 = Rs. 21,000

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