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A dealer buys an article marked at Rs. 2...

A dealer buys an article marked at Rs. 25000 with `20%` and `5%` off He spends Rs. 2000 on its repairs and sells it for Rs. 25000. What is his gain or losss `%` ?

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To solve the problem step by step, we will calculate the cost price of the article after applying the discounts and adding the repair costs, then determine the gain or loss percentage based on the selling price. ### Step-by-Step Solution: 1. **Identify the Marked Price (MP)**: - The marked price of the article is given as Rs. 25,000. 2. **Calculate the First Discount (20%)**: - First discount = 20% of Rs. 25,000 - Calculation: \[ \text{First Discount} = \frac{20}{100} \times 25000 = 5000 \] 3. **Calculate the Second Discount (5%)**: - Second discount = 5% of Rs. 25,000 - Calculation: \[ \text{Second Discount} = \frac{5}{100} \times 25000 = 1250 \] 4. **Calculate the Total Discount**: - Total discount = First Discount + Second Discount - Calculation: \[ \text{Total Discount} = 5000 + 1250 = 6250 \] 5. **Calculate the Cost Price (CP)**: - Cost Price = Marked Price - Total Discount - Calculation: \[ \text{Cost Price} = 25000 - 6250 = 18750 \] 6. **Add Repair Costs**: - Total Cost = Cost Price + Repair Costs - Given that the repair cost is Rs. 2000, we calculate: - Calculation: \[ \text{Total Cost} = 18750 + 2000 = 20750 \] 7. **Identify the Selling Price (SP)**: - The selling price is given as Rs. 25,000. 8. **Calculate Profit**: - Profit = Selling Price - Total Cost - Calculation: \[ \text{Profit} = 25000 - 20750 = 4250 \] 9. **Calculate Profit Percentage**: - Profit Percentage = (Profit / Total Cost) × 100 - Calculation: \[ \text{Profit Percentage} = \left(\frac{4250}{20750}\right) \times 100 \approx 20.48\% \] ### Final Answer: The dealer's gain percentage is approximately **20.48%**.
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