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100 oranges were brought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. What is the percentage of profit or loss?
- a)11 2/7% Loss
- b)11 1/7 % Profit
- c)14 2/7% Profit
- d)14 2/7% Loss
Correct answer is option 'C'. Can you explain this answer?
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100 oranges were brought at the rate of Rs. 350 and sold at the rate o...
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100 oranges were brought at the rate of Rs. 350 and sold at the rate o...
Given data:
Cost price of 100 oranges = Rs. 350
Selling price of 1 dozen oranges = Rs. 48
To find: Percentage of profit or loss
Let's calculate the cost price per orange:
Cost price of 100 oranges = Rs. 350
Cost price per orange = Rs. 350 / 100 = Rs. 3.50
Let's calculate the selling price per orange:
Selling price of 1 dozen oranges = Rs. 48
Selling price per orange = Rs. 48 / 12 = Rs. 4
Profit or loss per orange = Selling price per orange - Cost price per orange
Profit or loss per orange = Rs. 4 - Rs. 3.50 = Rs. 0.50
Let's calculate the profit or loss percentage:
Profit or loss percentage = (Profit or loss per orange / Cost price per orange) * 100
Profit or loss percentage = (0.50 / 3.50) * 100 = (1/7) * 100 = 14.28%
Since the profit or loss percentage is positive, it is a profit.
Therefore, the correct answer is option (c) 14 2/7% Profit.
Cost price of 100 oranges = Rs. 350
Selling price of 1 dozen oranges = Rs. 48
To find: Percentage of profit or loss
Let's calculate the cost price per orange:
Cost price of 100 oranges = Rs. 350
Cost price per orange = Rs. 350 / 100 = Rs. 3.50
Let's calculate the selling price per orange:
Selling price of 1 dozen oranges = Rs. 48
Selling price per orange = Rs. 48 / 12 = Rs. 4
Profit or loss per orange = Selling price per orange - Cost price per orange
Profit or loss per orange = Rs. 4 - Rs. 3.50 = Rs. 0.50
Let's calculate the profit or loss percentage:
Profit or loss percentage = (Profit or loss per orange / Cost price per orange) * 100
Profit or loss percentage = (0.50 / 3.50) * 100 = (1/7) * 100 = 14.28%
Since the profit or loss percentage is positive, it is a profit.
Therefore, the correct answer is option (c) 14 2/7% Profit.
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