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Raju goes from Agra to Delhi to buy an a...

Raju goes from Agra to Delhi to buy an article, which costs Rs 6,500 in Delhi. He sells this article in Agra for Rs 8,000. Find his gain or loss per cent. Consider that he spends Rs `700` on his transportation, food, etc.

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To solve the problem step by step, let's break it down: ### Step 1: Identify the Cost Price (CP) and Selling Price (SP) - The cost price of the article in Delhi is Rs 6,500. - Raju sells the article in Agra for Rs 8,000. ### Step 2: Calculate the Total Cost Price - Raju also incurs an additional cost of Rs 700 for transportation, food, etc. - Therefore, the total cost price (CP) is: \[ \text{Total CP} = \text{Cost Price of Article} + \text{Transportation Cost} \] \[ \text{Total CP} = 6500 + 700 = 7200 \] ### Step 3: Calculate the Profit - Profit can be calculated using the formula: \[ \text{Profit} = \text{Selling Price} - \text{Total Cost Price} \] \[ \text{Profit} = 8000 - 7200 = 800 \] ### Step 4: Calculate the Profit Percentage - The profit percentage can be calculated using the formula: \[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Total Cost Price}} \right) \times 100 \] \[ \text{Profit Percentage} = \left( \frac{800}{7200} \right) \times 100 \] ### Step 5: Simplify the Profit Percentage Calculation - Simplifying the fraction: \[ \text{Profit Percentage} = \left( \frac{800 \div 800}{7200 \div 800} \right) \times 100 = \left( \frac{1}{9} \right) \times 100 \] \[ \text{Profit Percentage} = \frac{100}{9} \approx 11.11\% \] ### Final Answer - Raju's profit percentage is approximately \( 11 \frac{1}{9} \% \). ---
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