A seller receives Rs. 6120 of an article by allowing 10% trade-discount and 15% cash discount. What is the printed value of the article?

Answer 1

To find the printed value of the article, let's denote the printed value as \( P \).

1. Calculate the selling price after the trade discount:

   • The trade discount is 10%, so the seller sells the article for 90% of the printed value.
   • Selling price after the trade discount = \( P \times (1 - 0.10) = P \times 0.90 \).

2. Calculate the selling price after the cash discount:

   • The cash discount is 15%, which is applied on the price after the trade discount.
   • Therefore, the price after the cash discount = Selling price after trade discount × (1 - 0.15).
   • Hence, it is \( (P \times 0.90) \times (1 - 0.15) = (P \times 0.90) \times 0.85 \).

3. Set up the equation:

   • We know that the final selling price is Rs. 6120.
   • Thus, we have: \[ (P \times 0.90) \times 0.85 = 6120 \]

4. Simplify the equation: \[ P \times 0.90 \times 0.85 = 6120 \] \[ P \times 0.765 = 6120 \]

5. Solve for \( P \): \[ P = \frac{6120}{0.765} \]

6. Calculate \( P \): \[ P \approx 8000 \]

Therefore, the printed value of the article is Rs. 8000.