1. Restate the problem: A shopkeeper sells a table at a 20% discount and earns 60% profit. We need to find the new profit percent if the discount is increased to 40%. 2. Define variables: Let the cost price (CP) of the table be $C$, and the marked price (MP) be $M$. 3. Using the first scenario (20% discount, 60% profit): - Selling price (SP) after 20% discount: $SP_1 = M \times (1 - 0.20) = 0.8M$ - Since profit is 60%, $SP_1 = C \times (1 + 0.60) = 1.6C$ 4. Equate the two expressions for $SP_1$: $$0.8M = 1.6C$$ From this, $$M = \frac{1.6C}{0.8} = 2C$$ 5. Now consider the second scenario where discount is 40%: - New selling price: $SP_2 = M \times (1 - 0.40) = 0.6M$ - Substitute $M = 2C$ from above: $SP_2 = 0.6 \times 2C = 1.2C$ 6. Calculate the new profit percent: $$\text{Profit} = SP_2 - C = 1.2C - C = 0.2C$$ $$\text{Profit \%} = \frac{0.2C}{C} \times 100 = 20\%$$ 7. Final answer: The new profit percent when the discount is 40% is **20%**.