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      Question

      The monthly incomes of Arjun, Rohan, and Sameer are in

      the ratio of 7:9:8, while their monthly expenditures are in the ratio of 3:4:5. Arjun earns Rs. 21,000 per month and saves Rs. 9,000 from his income. Based on this information, determine Sameer’s monthly savings.
      A Rs.3,500 Correct Answer Incorrect Answer
      B Rs.4,000 Correct Answer Incorrect Answer
      C Rs.3,500 Correct Answer Incorrect Answer
      D Rs.4,856 Correct Answer Incorrect Answer

      Solution

      ATQ;
      Let monthly income of ‘Arjun’, ‘Rohan’ and ‘Sameer’ be Rs. ‘7x’, Rs. ‘9x’ and Rs. ‘8x’, respectively.
      ATQ;
      ‘7x’ = 21000
      Or, x = 3000
      So, monthly income of ‘Sameer’ = ‘8x = 8 × 3000 = Rs. 24,000
      Let monthly expenditures of ‘Arjun’, ‘Rohan’ and ‘Sameer’ be Rs. ‘3y’, Rs. ‘4y’ and Rs. ‘5y’, respectively.
      Monthly savings of ‘Arjun’ = Rs. 9,000
      ATQ,
      (21000 – 3y) = 9000
      Or, 3y = 12000
      So, y = 4000
      So, monthly expenditure of ‘Sameer’ = 5y = 5 × 4000 = Rs. 20,000
      Therefore, monthly saving of ‘Sameer’ = (24000 – 20000) = Rs. 4,000

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