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      Question

      The monthly incomes of A and B are in the ratio of 5:6.

      A's monthly savings are 50% higher than B's monthly savings, while A's monthly expenditure equals B's monthly savings. Additionally, B's monthly expenditure is Rs. 10,000 more than A's. Determine the difference in their monthly incomes.
      A Rs. 10,000 Correct Answer Incorrect Answer
      B Rs. 8,000 Correct Answer Incorrect Answer
      C Rs. 5,000 Correct Answer Incorrect Answer
      D Rs. 6,000 Correct Answer Incorrect Answer
      E cannot be determined Correct Answer Incorrect Answer

      Solution

      Let the monthly savings of B = Rs. x So the monthly savings of A = Rs. 1.5x Monthly expenditure of A = Rs. x Monthly expenditure of B = Rs. x + 10000 According to question: (1.5x + x)/(x + x + 10000) = 5/6 2.5x/ (2x + 10000) = 5/6 15x = 10x + 50000 5x = 50000, x = 10000 Monthly income of A = 2.5 × 10000 = Rs. 25,000 Monthly income of B = 2 × 10000 + 10000 = Rs. 30,000 So the desired difference = 30000 – 25000 = Rs. 5,000

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