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100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:

Difficulty: Easy

Correct Answer: 14.29% profit

Explanation:

Given Data

  • Total oranges bought = 100
  • Total cost (cost price, CP) = Rs. 350
  • Selling rate = Rs. 48 per dozen (12 oranges)
  • Required: overall percentage of profit or loss

Step 1: Compute total selling price (SP)
Price per orange = 48 ÷ 12 = Rs. 4SP for 100 oranges = 100 × 4 = Rs. 400


Step 2: Compute absolute profit
Profit = SP − CP = 400 − 350 = Rs. 50


Step 3: Profit percentage on cost
Profit% = (Profit ÷ CP) × 100 = (50 ÷ 350) × 100= 0.142857… × 100 ≈ 14.29% profit


Checks & Common Pitfalls

  • Always convert the dozen rate to a per unit price before scaling.
  • Profit% is always computed on cost, not on selling price (unless explicitly asked).
  • Ensure rounding is consistent to two decimals for percentage reporting.

Final Answer
Overall result is a 14.29% profit.

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