1. **Problem Statement:** A seller buys an electric appliance for 5000 and wants to earn a profit of 20%. He marks the selling price accordingly. If the customer pays outright, a discount of 5% is given. We need to find: - The marked price of the article. - The discount given in rupees. - The profit earned by selling the article. 2. **Formulas and Rules:** - Cost Price (CP) = 5000 - Profit % = 20%, so Profit = $\frac{20}{100} \times CP$ - Marked Price (MP) is the price before discount. - Discount % = 5%, so Discount = $\frac{5}{100} \times MP$ - Selling Price (SP) = MP - Discount - Profit = SP - CP 3. **Calculate Profit Amount:** $$\text{Profit} = \frac{20}{100} \times 5000 = 1000$$ 4. **Calculate Selling Price (SP):** Since profit is 1000, $$SP = CP + \text{Profit} = 5000 + 1000 = 6000$$ 5. **Calculate Marked Price (MP):** Given a 5% discount on MP results in SP, $$SP = MP - \frac{5}{100} \times MP = MP \times (1 - 0.05) = 0.95 \times MP$$ So, $$MP = \frac{SP}{0.95} = \frac{6000}{0.95} = 6315.79$$ 6. **Calculate Discount in Rupees:** $$\text{Discount} = MP - SP = 6315.79 - 6000 = 315.79$$ 7. **Calculate Profit Earned:** Profit is already calculated as 1000. **Final answers:** - Marked Price = 6315.79 - Discount = 315.79 - Profit Earned = 1000