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    Question

    Raman spends 15% of his income on house rent, 20% of the

    remaining on food, 25% of the now remaining on education, (3/17)th of the now remaining on travel and saves the rest. If his savings is Rs. 8,400, then find the amount spent on education.
    A Rs. 5,470 Correct Answer Incorrect Answer
    B Rs. 3,400 Correct Answer Incorrect Answer
    C Rs. 2,470 Correct Answer Incorrect Answer
    D Rs. 3,000 Correct Answer Incorrect Answer

    Solution

    ATQ, Let the income be Rs. 100n Amount spent on rent = 15% of 100n = Rs. 15n Remaining income = 100n − 15n = Rs. 85n Amount spent on food = 20% of 85n = 0.2 × 85n = Rs. 17n Remaining income = 85n − 17n = Rs. 68n Amount spent on education = 25% of 68n = 0.25 × 68n = Rs. 17n Remaining income = 68n − 17n = Rs. 51n Amount spent on travel = (3/17) of 51n = Rs. 9n So, savings = 51n − 9n = 42n Given savings = 8,400 So, 42n = 8,400 Or, n = 200 Therefore, amount spent on education = 17n = 17 × 200 = Rs. 3,400

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