Prateek's salary was increased by `12%` to Rs 16,800. Find his salary before the increase.

Answer

To find Prateek's salary before the increase, we can follow these steps:

### Step 1: Define the variables
Let Prateek's salary before the increase be \( x \).

### Step 2: Write the equation for the increased salary
According to the problem, Prateek's salary was increased by 12%. Therefore, his new salary can be expressed as:
\[ \text{New Salary} = x + 12\% \text{ of } x \]
This can also be written as:
\[ \text{New Salary} = x + \frac{12}{100} \cdot x = x \left(1 + \frac{12}{100}\right) = x \left(\frac{112}{100}\right) \]

### Step 3: Set the equation equal to the new salary
We know that Prateek's new salary is Rs 16,800. Thus, we can set up the equation:
\[ x \left(\frac{112}{100}\right) = 16,800 \]

### Step 4: Solve for \( x \)
To isolate \( x \), we can multiply both sides of the equation by \( \frac{100}{112} \):
\[ x = 16,800 \cdot \frac{100}{112} \]

### Step 5: Calculate the value of \( x \)
Now, we can simplify the right-hand side:
\[ x = 16,800 \cdot \frac{100}{112} \]
Calculating \( \frac{100}{112} \):
\[ \frac{100}{112} = \frac{25}{28} \]
So,
\[ x = 16,800 \cdot \frac{25}{28} \]
Now, we can perform the multiplication:
\[ x = 16,800 \div 28 \cdot 25 \]
Calculating \( 16,800 \div 28 \):
\[ 16,800 \div 28 = 600 \]
Now, multiplying by 25:
\[ x = 600 \cdot 25 = 15,000 \]

### Final Answer
Thus, Prateek's salary before the increase was Rs 15,000.

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