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      Question

      Individuals A and B have their incomes in the ratio of 5

      to 3, while the ratio of their expenditures stands at 3 to 4, respectively. A saves Rs. 43,000 and B saves Rs. 6,000. It is also known that both A and B spend 25% of their respective incomes on food. Based on this information, determine the combined amount that A and B spend on all other items excluding food.
      A Rs. 40000 Correct Answer Incorrect Answer
      B Rs. 35600 Correct Answer Incorrect Answer
      C Rs. 25000 Correct Answer Incorrect Answer
      D Rs. 35000 Correct Answer Incorrect Answer

      Solution

      Let the incomes of ‘A’ and ‘B’ be Rs. 5x and Rs. 3x, respectively Let their expenditures be Rs. 3y and 4y, respectively According to the question, 5x – 3y = 43000….. (1) And, 3x – 4y = 6000…. (2) On solving equation (1) and (2), we get x = 14000 and y = 9000 Amount spent by ‘A’ and ‘B’, together on food = 0.25(5x + 3x) = Rs. 28000 Required expenditure = (3y + 4y) – 28000 = Rs. 35000

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