The price of a product after getting `20%` discount is Rs 3,024 which includes `5%` tax on selling price. What was the marked price (in Rs) of the product?

Options

A. 3780
B. 2742
C. 3600
D. 2880

Answer

To find the marked price of the product, we can follow these steps:

### Step 1: Understand the given information
The price after a 20% discount is Rs 3,024, and this price includes a 5% tax on the selling price.

### Step 2: Let the marked price be represented as \( M \)
If the marked price is \( M \), then after a 20% discount, the selling price (SP) becomes:
\[ SP = M - 0.20M = 0.80M \]

### Step 3: Calculate the selling price including tax
The selling price including tax is given as Rs 3,024. Since the selling price includes a 5% tax, we can express this as:
\[ SP + 0.05 \times SP = 3024 \]
This simplifies to:
\[ 1.05 \times SP = 3024 \]
Thus, the selling price (SP) can be calculated as:
\[ SP = \frac{3024}{1.05} \]

### Step 4: Calculate the selling price
Calculating the above expression:
\[ SP = \frac{3024}{1.05} = 2880 \]

### Step 5: Relate selling price to marked price
Now, we know that:
\[ SP = 0.80M \]
Substituting the value of SP we just calculated:
\[ 2880 = 0.80M \]

### Step 6: Solve for the marked price
To find \( M \), rearrange the equation:
\[ M = \frac{2880}{0.80} \]
Calculating this gives:
\[ M = 3600 \]

### Conclusion
The marked price of the product is Rs 3,600.

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