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:
Aptitude
Profit and Loss
Difficulty: Easy
Choose an option
Answer
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 profitProfit = SP − CP = 400 − 350 = Rs. 50
Step 3: Profit percentage on costProfit% = (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 AnswerOverall result is a 14.29% profit.