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      Question

      'X' allocates 20% of his income

      to rent, then spends 25% of the remaining income on food. From what is left, he uses 35% on education and (5/13)th of the remaining amount on other expenses. The rest is saved. If his total savings are Rs. 10,800, determine how much he spent on education.
      A Rs.9,450 Correct Answer Incorrect Answer
      B Rs.8,920 Correct Answer Incorrect Answer
      C Rs.7,420 Correct Answer Incorrect Answer
      D Rs.2,920 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the income be Rs. '100x' Amount spent on rent = 0.2 X 100x = Rs. '20x' Remaining income = 100x - 20x = Rs. '80x' Amount spent on food = 0.25 X 80x = Rs. '20x' Remaining income = 80x - 20x = Rs. '60x' Amount spent on education = 0.35 X 60x = Rs. '21x' Remaining income = 60x - 21x = Rs. '39x' Savings = (8/13) × 39x = '24x' So, 24x = 10,800 Or, 'x' = 450 Required amount = 21 × 450 = Rs. 9,450

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