A shopkeeper incurs a loss of 15% when selling an article. If he had sold the article for Rs. 3000 more, he would have gained 5%. If the article is marked 20% above the cost price, what is the discount given on the article?

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**Solution:**

1. Let the cost price of the article be *C*.

2. Given that selling at a loss of 15%, the selling price (SP1) is:
   $$ SP_1 = C - 0.15C = 0.85C $$

3. If the article is sold for Rs. 3000 more, the new selling price (SP2) is:
   $$ SP_2 = SP_1 + 3000 = 0.85C + 3000 $$

4. At this new selling price, the shopkeeper makes a profit of 5%, so:
   $$ SP_2 = C + 0.05C = 1.05C $$

5. Equate the two expressions for SP2:
   $$ 0.85C + 3000 = 1.05C $$

6. Rearranging:
   $$ 3000 = 1.05C - 0.85C = 0.20C $$

7. Solve for *C*:
   $$ C = \frac{3000}{0.20} = 15000 $$

8. Marked price (MP) is 20% above cost price:
   $$ MP = C + 0.20C = 1.20 	imes 15000 = 18000 $$

9. The article was initially sold at a loss of 15%, so the selling price is:
   $$ SP = 0.85 	imes 15000 = 12750 $$

10. Discount given is the difference between marked price and selling price:
    $$ 	ext{Discount} = MP - SP = 18000 - 12750 = 5250 $$

**Answer:** Rs. 5250

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