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    Hema decided to donate 15% of her salary to a charitable trust. On the day of donation she changed her mind and donated Rs.4,500 which is 125% of what
    Question

    Hema decided to donate 15% of her salary to a charitable trust. On the day of donation she changed her mind and donated Rs.4,500 which is 125% of what she has decided earlier. Find Hema’s salary.

    A.

    Rs.30,000

    B.

    Rs.24,000

    C.

    Rs.18,000

    D.

    Rs.32,000

    Correct option is B

    Given:

    ​Hema decided to donate 15% of her salary to a charitable trust

    On the day of donation she changed her mind and donated Rs.4,500 which is 125% of what she has decided earlier

    Hema’s salary = ?

    Solution: 

    Let Hema's salary be denoted as SSS.

    ​Hema initially decided to donate 15% of her salary. This amount is:

    Initial donation = 0.15S 

    On the day of the donation, she changed her mind and donated Rs. 4,500, which is 125% of the amount she originally planned to donate. Therefore:

    4500 = 1.25 × Initial donation 

    Substitute the value of the initial donation

    4500 = 1.25 × 0.15S 

    Now, simplify the equation:

    4500 = 1.25 × 0.15S

    4500 = 0.1875S 

    S=45000.1875S = \frac{4500}{0.1875} 

    ​S = 24000 

    Thus Hema's salary is Rs. 24,000.

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