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      Question

      Vikram spends 35% of his income on rent, 20% of the

      remaining on food, 25% of the now remaining on education, (4/13)th of the now remaining on other needs and saves the rest. If his savings is Rs. 8,100, then find the amount spent on education.
      A Rs. 5,470 Correct Answer Incorrect Answer
      B Rs. 4,750 Correct Answer Incorrect Answer
      C Rs. 2,470 Correct Answer Incorrect Answer
      D Rs. 3,900 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the income be Rs. 100n Amount spent on rent = 35% of 100n = Rs. 35n Remaining income = 100n − 35n = Rs. 65n Amount spent on food = 20% of 65n = Rs. 13n Remaining income = 65n − 13n = Rs. 52n Amount spent on education = 25% of 52n = Rs. 13n Remaining income = 52n − 13n = Rs. 39n Amount spent on other needs = (4/13) of 39n = Rs. 12n So, savings = 39n − 12n = 27n Given savings = 8,100 So, 27n = 8,100 Or, n = 300 Therefore, amount spent on education = 13n = 13 × 300 = Rs. 3,900

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