A man sold an articlle for Rs 450. After allowing a discount of `16 2/3 %` an the printed price. What is the printed price ?

Options

A. Rs. 525
B. Rs. 530
C. Rs. 535
D. Rs. 540

Answer

To find the printed price of the article, we can follow these steps:

### Step 1: Understand the given information
- Selling Price (SP) = Rs 450
- Discount = 16 2/3% = 16.67% = 16.67/100 = 50/3%

### Step 2: Set up the equation
Let the Printed Price (Marked Price) be \( x \). The selling price can be expressed in terms of the marked price and the discount:
\[ SP = x - \text{Discount} \]

### Step 3: Calculate the discount in terms of marked price
The discount can be calculated as:
\[ \text{Discount} = \frac{50}{3} \% \text{ of } x = \frac{50}{3} \times \frac{x}{100} = \frac{50x}{300} = \frac{x}{6} \]

### Step 4: Substitute the discount in the selling price equation
Substituting the discount in the equation gives:
\[ 450 = x - \frac{x}{6} \]

### Step 5: Simplify the equation
To simplify, we need a common denominator:
\[ 450 = \frac{6x - x}{6} \]
\[ 450 = \frac{5x}{6} \]

### Step 6: Solve for \( x \)
To isolate \( x \), multiply both sides by 6:
\[ 450 \times 6 = 5x \]
\[ 2700 = 5x \]
Now, divide both sides by 5:
\[ x = \frac{2700}{5} = 540 \]

### Conclusion
The printed price (marked price) of the article is Rs 540.