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A man bought three articles for ₹ 3,000 ...

A man bought three articles for ₹ 3,000 each. He sold the articles respectively at 10% profit, 5% profit and 15% loss. The total percentage profit/loss he earned is:
किसी व्यक्ति ने तीन वस्तुएँ खरीदी, जिनमें से प्रत्येक की कीमत ₹3,000 थी। उसने उस वस्तुओं को क्रमशः 10% लाभ, 5% लाभ और 15% हानि पर बेच दिया। उसके द्वारा अर्जित कुल लाभ/हानि प्रतिशत है:

A

10% loss

B

5% loss

C

5% profit

D

No profit no loss

Text Solution

AI Generated Solution

The correct Answer is:
To find the total percentage profit or loss from selling three articles, we will follow these steps: ### Step 1: Calculate the Cost Price (CP) of Each Article Each article is bought for ₹3,000. Therefore, the cost price of each article is: - Article 1: ₹3,000 - Article 2: ₹3,000 - Article 3: ₹3,000 ### Step 2: Calculate the Total Cost Price (CP) of All Articles Total CP = Cost Price of Article 1 + Cost Price of Article 2 + Cost Price of Article 3 \[ \text{Total CP} = 3000 + 3000 + 3000 = ₹9,000 \] ### Step 3: Calculate the Selling Price (SP) of Each Article 1. **For Article 1 (10% profit)**: - Profit = 10% of ₹3,000 = \(0.10 \times 3000 = ₹300\) - Selling Price (SP) = CP + Profit = ₹3,000 + ₹300 = ₹3,300 2. **For Article 2 (5% profit)**: - Profit = 5% of ₹3,000 = \(0.05 \times 3000 = ₹150\) - Selling Price (SP) = CP + Profit = ₹3,000 + ₹150 = ₹3,150 3. **For Article 3 (15% loss)**: - Loss = 15% of ₹3,000 = \(0.15 \times 3000 = ₹450\) - Selling Price (SP) = CP - Loss = ₹3,000 - ₹450 = ₹2,550 ### Step 4: Calculate the Total Selling Price (SP) of All Articles Total SP = SP of Article 1 + SP of Article 2 + SP of Article 3 \[ \text{Total SP} = 3300 + 3150 + 2550 = ₹9,000 \] ### Step 5: Calculate Total Profit or Loss Total Profit/Loss = Total SP - Total CP \[ \text{Total Profit/Loss} = 9000 - 9000 = ₹0 \] ### Step 6: Calculate the Total Percentage Profit/Loss Percentage Profit/Loss = \(\left(\frac{\text{Total Profit/Loss}}{\text{Total CP}}\right) \times 100\) \[ \text{Percentage Profit/Loss} = \left(\frac{0}{9000}\right) \times 100 = 0\% \] ### Conclusion The total percentage profit/loss earned by the man is **0%** (no profit, no loss). ---
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