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    Question

    Mehul allocates his income in the following manner: 25%

    is spent on rent. After rent, he uses 20% of the balance on groceries. He spends one-fifth of the remaining amount on travel. Following these expenses, he spends 25% of what's left on entertainment. He saves the remaining sum, which amounts to Rs. 45,000. Calculate his total income.
    A Rs. 1,20,000 Correct Answer Incorrect Answer
    B Rs. 1,30,000 Correct Answer Incorrect Answer
    C Rs. 1,25,000 Correct Answer Incorrect Answer
    D Rs. 1,15,000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the income of Mehul be Rs. '100q'.
    Money spent on rent = 0.25 × 100q = Rs. '25q'
    Remaining income = 100q – 25q = Rs. '75q' Money spent on groceries = 0.20 × 75q = Rs. '15q'
    Remaining income = 75q – 15q = Rs. '60q' Money spent on travel = (1/5) × 60q = Rs. '12q'
    Remaining income = 60q – 12q = Rs. '48q' Money spent on entertainment = 0.25 × 48q = Rs. '12q'
    Savings = 48q – 12q = Rs. '36q' So, 36q = 45,000
    Or, q = 1,250
    Therefore, income of Mehul = 1,250 × 100 = Rs. 1,25,000

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