1. **State the problem:** A shopkeeper sells a table at a 20% discount and earns 60% profit. We need to find his new profit percentage if he sells the same table at a 40% discount. 2. **Define variables:** Let $C$ be the cost price and $M$ be the marked price of the table. 3. **Set up equations:** - Selling price with 20% discount is $$SP_1 = M \times (1 - 0.20) = 0.8M$$ - Profit is 60%, so $$SP_1 = C \times (1 + 0.60) = 1.6C$$ From this we get: $$0.8M = 1.6C \Rightarrow M = \frac{1.6C}{0.8} = 2C$$ So the marked price is twice the cost price. 4. **Calculate new selling price with 40% discount:** $$SP_2 = M \times (1 - 0.40) = 0.6M = 0.6 \times 2C = 1.2C$$ 5. **Calculate new profit percent:** Profit = $$SP_2 - C = 1.2C - C = 0.2C$$ Profit percentage = $$\frac{0.2C}{C} \times 100 = 20\%$$ **Final answer:** The new profit percent at 40% discount is **20%**.