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    Question

    Sujata allocated 40% of her annual income to a fixed

    deposit. She then spent 25% of the remaining amount on house rent and 15% on food. After these expenditures, she was able to save Rs. 54,000 for the year. What is her monthly income in rupees?
    A Rs. 10000 Correct Answer Incorrect Answer
    B Rs. 12500 Correct Answer Incorrect Answer
    C Rs. 15000 Correct Answer Incorrect Answer
    D Rs. 17500 Correct Answer Incorrect Answer
    E Rs. 20000 Correct Answer Incorrect Answer

    Solution

    Let, total yearly income be Rs. 100x. So, amount invested in FD = 0.4 × 100x = Rs. 40x So, amount spent on rent and food = (25 + 15)% of (100x – 40x) = 0.4 × 60x = Rs. 24x Therefore, amount saved = 100x – 40x – 24x = Rs. 36x So, 36x = 54000 x = 54000/36 = 1500 Therefore, yearly income of Sujata = 100 × 1500 = Rs. 150000 So, monthly income = 150000/12 = Rs. 12500

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