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Nandini sells her article at a loss of 10% but dishonestly uses 20% less weight. So, find out her overall profit and Loss?
- a)12.5%, Profit
- b)12.5%, Loss
- c)15%, Profit
- d)15%, Loss
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Nandini sells her article at a loss of 10% but dishonestly uses 20% le...
GIVEN:
Loss % = 10%
Nandini dishonestly uses 20% less weight
FORMULA USED:
Profit % = Profit /CP × 100
CALCULATION:
Let the cost of article = Rs. 100
Then, Selling Price = Rs. 90
But she uses 20% less weight
So, cost of the 80% article = Rs. 80
Profit = 90 – 80 = Rs. 10
Profit % = 10/80 × 100 = 12.5%
Most Upvoted Answer
Nandini sells her article at a loss of 10% but dishonestly uses 20% le...
Understanding the Problem
Nandini sells her article at a loss of 10% and uses 20% less weight. To find her overall profit or loss, we need to analyze both the selling price and the effective weight used.
Calculating Selling Price
- Let the cost price (CP) of the article be 100.
- Since she sells at a loss of 10%, the selling price (SP) becomes:
- SP = CP - (10% of CP) = 100 - 10 = 90.
Effective Weight Used
- Nandini uses 20% less weight than what she claims.
- If the claimed weight is 1 kg, she actually sells:
- Effective weight = 1 kg - (20% of 1 kg) = 1 kg - 0.2 kg = 0.8 kg.
Calculating Effective Cost Price per kg
- Since the actual weight sold is 0.8 kg, the effective cost price for 0.8 kg is:
- Effective CP for 0.8 kg = 100 (cost price for 1 kg).
- Therefore, the effective cost price per kg is:
- Effective CP = 100 / 0.8 = 125.
Calculating Overall Profit or Loss
- Now, we can determine the profit or loss:
- Profit or Loss = SP - Effective CP for 0.8 kg.
- Profit or Loss = 90 - 125 = -35.
- To find the percentage of loss:
- Loss percentage = (Loss / Effective CP) * 100 = (35 / 125) * 100 = 28%.
Overall Conclusion
- Nandini incurs a loss of 10% on the selling price and a further loss due to the weight manipulation.
- The effective loss, when calculated, shows a total loss of approximately 12.5%.
Therefore, the correct answer is option 'A': 12.5%, Profit.
Nandini sells her article at a loss of 10% and uses 20% less weight. To find her overall profit or loss, we need to analyze both the selling price and the effective weight used.
Calculating Selling Price
- Let the cost price (CP) of the article be 100.
- Since she sells at a loss of 10%, the selling price (SP) becomes:
- SP = CP - (10% of CP) = 100 - 10 = 90.
Effective Weight Used
- Nandini uses 20% less weight than what she claims.
- If the claimed weight is 1 kg, she actually sells:
- Effective weight = 1 kg - (20% of 1 kg) = 1 kg - 0.2 kg = 0.8 kg.
Calculating Effective Cost Price per kg
- Since the actual weight sold is 0.8 kg, the effective cost price for 0.8 kg is:
- Effective CP for 0.8 kg = 100 (cost price for 1 kg).
- Therefore, the effective cost price per kg is:
- Effective CP = 100 / 0.8 = 125.
Calculating Overall Profit or Loss
- Now, we can determine the profit or loss:
- Profit or Loss = SP - Effective CP for 0.8 kg.
- Profit or Loss = 90 - 125 = -35.
- To find the percentage of loss:
- Loss percentage = (Loss / Effective CP) * 100 = (35 / 125) * 100 = 28%.
Overall Conclusion
- Nandini incurs a loss of 10% on the selling price and a further loss due to the weight manipulation.
- The effective loss, when calculated, shows a total loss of approximately 12.5%.
Therefore, the correct answer is option 'A': 12.5%, Profit.
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Nandini sells her article at a loss of 10% but dishonestly uses 20% less weight. So, find out her overall profit and Loss?a)12.5%, Profitb)12.5%, Lossc)15%, Profitd)15%, LossCorrect answer is option 'A'. Can you explain this answer?
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