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    Sonal was given some money to take care of her travel expenses during a 16-day sales drive. However, she had to increase her stay by another 8 days, a
    Question

    Sonal was given some money to take care of her travel expenses during a 16-day sales drive. However, she had to increase her stay by another 8 days, and as a result her average daily travel allowance went down by ₹80. How much was sanctioned to her in the beginning?

    A.

    ₹3,750

    B.

    ₹3,840

    C.

    ₹3,820

    D.

    ₹3,760

    Correct option is B

    Given:

    Sonal's initial travel allowance was meant for a 16-day sales drive.

    After increasing her stay by another 8 days (making it 24 days), her average daily travel allowance decreased by ₹80.

    We are to find the initial amount sanctioned to Sonal.

    Solution:
    Let the total amount of money initially sanctioned to Sonal be A.

    The initial daily allowance is A16.\frac{A}{16}.​​

    After increasing the stay to 24 days, the new daily allowance becomes A24.\frac{A}{24}.​​

    The decrease in daily allowance is ₹80, so:

    A16A24=80\frac{A}{16} - \frac{A}{24} = 80

    3A482A48=80\frac{3A}{48} - \frac{2A}{48} = 80

    A48=80\frac{A}{48} = 80

    A = 80×48=384080 \times 48 = 3840
    The initial amount sanctioned to Sonal was ₹3840.

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