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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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