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A dishonest dealer sells the goods at 10% loss on the cost price but uses 25% less weight. What is the percentage profit or loss?
- a)25% profit
- b)20% loss
- c)22% loss
- d)20% profit
- e)24% profit
Correct answer is option 'D'. Can you explain this answer?
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A dishonest dealer sells the goods at 10% loss on the cost price but u...
Option D
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A dishonest dealer sells the goods at 10% loss on the cost price but u...
Given:
- The dealer sells the goods at a 10% loss on the cost price.
- The dealer uses 25% less weight.
To Find:
The percentage profit or loss.
Solution:
Let's assume the cost price of the goods is $100 and the weight is 100 units for simplicity.
Step 1: Calculate the selling price
Since the dealer sells the goods at a 10% loss on the cost price, the selling price will be:
Selling price = Cost price - 10% of Cost price
Selling price = $100 - 10% of $100
Selling price = $100 - $10 = $90
Step 2: Calculate the weight used
Since the dealer uses 25% less weight, the weight used will be:
Weight used = 100 units - 25% of 100 units
Weight used = 100 units - 25 units = 75 units
Step 3: Calculate the selling price per unit
Selling price per unit = Selling price / Weight used
Selling price per unit = $90 / 75 units
Selling price per unit = $1.20 per unit
Step 4: Calculate the cost price per unit
Cost price per unit = Cost price / Weight used
Cost price per unit = $100 / 75 units
Cost price per unit = $1.33 per unit
Step 5: Calculate the percentage profit or loss
Profit or loss percentage = ((Selling price per unit - Cost price per unit) / Cost price per unit) * 100
Profit or loss percentage = (($1.20 - $1.33) / $1.33) * 100
Profit or loss percentage = (-$0.13 / $1.33) * 100
Profit or loss percentage = -9.77%
Conclusion:
The dealer incurs a 9.77% loss on the cost price, which is approximately a 10% loss. Therefore, the correct answer is option D) 20% profit.
- The dealer sells the goods at a 10% loss on the cost price.
- The dealer uses 25% less weight.
To Find:
The percentage profit or loss.
Solution:
Let's assume the cost price of the goods is $100 and the weight is 100 units for simplicity.
Step 1: Calculate the selling price
Since the dealer sells the goods at a 10% loss on the cost price, the selling price will be:
Selling price = Cost price - 10% of Cost price
Selling price = $100 - 10% of $100
Selling price = $100 - $10 = $90
Step 2: Calculate the weight used
Since the dealer uses 25% less weight, the weight used will be:
Weight used = 100 units - 25% of 100 units
Weight used = 100 units - 25 units = 75 units
Step 3: Calculate the selling price per unit
Selling price per unit = Selling price / Weight used
Selling price per unit = $90 / 75 units
Selling price per unit = $1.20 per unit
Step 4: Calculate the cost price per unit
Cost price per unit = Cost price / Weight used
Cost price per unit = $100 / 75 units
Cost price per unit = $1.33 per unit
Step 5: Calculate the percentage profit or loss
Profit or loss percentage = ((Selling price per unit - Cost price per unit) / Cost price per unit) * 100
Profit or loss percentage = (($1.20 - $1.33) / $1.33) * 100
Profit or loss percentage = (-$0.13 / $1.33) * 100
Profit or loss percentage = -9.77%
Conclusion:
The dealer incurs a 9.77% loss on the cost price, which is approximately a 10% loss. Therefore, the correct answer is option D) 20% profit.
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A dishonest dealer sells the goods at 10% loss on the cost price but uses 25% less weight. What is the percentage profit or loss?a)25% profitb)20% lossc)22% lossd)20% profite)24% profitCorrect answer is option 'D'. Can you explain this answer?
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