​Sushil decided to donate 16% of his salary for a charity. On the day of donation he changed his mind and donated ₹ 3,792 which was 75% of what he decided earlier. How much is Sushil's salary?​

Correct option is C

Given:

1. Sushil decided to donate 16% of his salary.

2. He donated ₹3,792, which was 75% of what he originally decided to donate.

Formula Used:

1. Let Sushil's salary be x .

2. The amount he originally decided to donate:

$$\text{Original Donation} = \frac{16}{100} \cdot x$$​

3. The amount he actually donated:

Actual Donation = 75% of Original Donation

Substitute the values:

$$3,792 = \frac{75}{100} \cdot \frac{16}{100} \cdot x$$​

Solve for x .

Solution:

1. Write the equation:

$$3,792 = \frac{75}{100} \cdot \frac{16}{100} \cdot x$$​

2. Simplify the coefficients:

$$3,792 = \frac{75 \cdot 16}{10,000} \cdot x$$​

$$3,792 = \frac{1,200}{10,000} \cdot x$$​

$$3,792 = \frac{12}{100} \cdot x$$​

3. Solve for x :

$$x = \frac{3,792 \cdot 100}{12}$$​

$$x = \frac{379,200}{12}$$​

x = 31,600

Final Answer:

Sushil's salary is **₹31,600**.