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    Question

    Shalini allocates her income in the following manner:

    20% is spent on household expenses. After household expenses, she uses 20% of the balance on rent. She spends one-fourth of the remaining amount on travel. Following these expenses, she spends 25% of what's left on personal care. She saves the remaining sum, which amounts to Rs. 18,000. Calculate her total income.
    A Rs. 40,000 Correct Answer Incorrect Answer
    B Rs. 45,000 Correct Answer Incorrect Answer
    C Rs. 50,000 Correct Answer Incorrect Answer
    D Rs. 60,000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the income of Shalini be Rs. '100q'.
    Money spent on household = 0.20 × 100q = Rs. '20q'
    Remaining income = 100q – 20q = Rs. '80q' Money spent on rent = 0.20 × 80q = Rs. '16q'
    Remaining income = 80q – 16q = Rs. '64q' Money spent on travel = (1/4) × 64q = Rs. '16q'
    Remaining income = 64q – 16q = Rs. '48q' Money spent on personal care = 0.25 × 48q = Rs. '12q'
    Savings = 48q – 12q = Rs. '36q' So, 36q = 18,000
    Or, q = 500
    Therefore, income of Shalini = 500 × 100 = Rs. 50,000

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