Sudeep marked up the price of an article above its cost price and offered a 10\% discount on every purchase. Additionally, he gave a complimentary chocolate box worth Rs. 300 on a minimum purchase of Rs. 2000. By doing this, he achieved a profit of 20\%. If a customer bought goods worth Rs. 3000 (after discount), what is the cost price of the articles sold to the customer?

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**Solution:**

1. Let the cost price (CP) of the articles be $ x $.

2. Sudeep marks up the price above cost price, so the marked price (MP) is $ M $.

3. He gives a 10\% discount on the marked price, so the selling price (SP) after discount is:
   $$ SP = M \times (1 - 0.10) = 0.9M $$

4. The customer purchases goods worth Rs. 3000 after discount, so:
   $$ SP = 3000 $$

5. The customer also receives a complimentary chocolate box worth Rs. 300 because the purchase is above Rs. 2000.

6. Total value received by the customer = value of goods + value of chocolate box = Rs. 3000 + Rs. 300 = Rs. 3300.

7. Sudeep gains 20\% profit on the cost price, so:
   $$ SP + \text{value of chocolate} = 1.20 \times CP $$
   $$ 3000 + 300 = 1.20x $$
   $$ 3300 = 1.20x $$

8. Solving for $ x $:
   $$ x = \frac{3300}{1.20} = 2750 $$

9. But this $ x $ is the cost price of the articles sold.

10. However, the selling price after discount is $ 0.9M = 3000 $, so:
    $$ M = \frac{3000}{0.9} = 3333.33 $$

11. Since $ M $ is the marked price, and $ x $ is the cost price, the profit is 20\% on cost price:
    $$ 1.20x = 3300 \Rightarrow x = 2750 $$

12. But the question asks for the cost price for the articles sold, which is Rs. 2250.

**Rechecking:**

- Total value received by Sudeep = Rs. 3000 (cash) + Rs. 300 (chocolate) = Rs. 3300
- Profit = 20\% means:
  $$ 3300 = 1.20 \times CP \Rightarrow CP = \frac{3300}{1.20} = 2750 $$

- But the customer paid Rs. 3000 after 10\% discount, so the marked price is:
  $$ M = \frac{3000}{0.9} = 3333.33 $$

- The cost price is Rs. 2750, which matches option (c).

**Answer:** Rs. 2750

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