The price of an article inclusive of 12% tax is Rs 2,016. Find its marked price.

Answer

To find the marked price of the article given that the price inclusive of a 12% tax is Rs. 2016, we can follow these steps:

### Step 1: Define the Marked Price
Let the marked price be denoted as \( X \).

### Step 2: Set Up the Equation
The price inclusive of tax can be expressed as:
\[ \text{Price with tax} = \text{Marked Price} + \text{Tax on Marked Price} \]
Given that the tax is 12%, we can write:
\[ 2016 = X + 0.12X \]

### Step 3: Combine Like Terms
Combine the terms on the right side:
\[ 2016 = X + \frac{12}{100}X \]
This simplifies to:
\[ 2016 = X \left(1 + \frac{12}{100}\right) \]
\[ 2016 = X \left(\frac{100 + 12}{100}\right) \]
\[ 2016 = X \left(\frac{112}{100}\right) \]

### Step 4: Solve for Marked Price
To isolate \( X \), multiply both sides by \( \frac{100}{112} \):
\[ X = 2016 \times \frac{100}{112} \]

### Step 5: Calculate the Value
Now, perform the calculation:
\[ X = 2016 \times \frac{100}{112} = 2016 \times 0.892857 \]
Calculating this gives:
\[ X = 1800 \]

### Final Answer
Thus, the marked price of the article is Rs. 1800.

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