Calculating Actual Profit Percentage with Faulty Weight
This problem requires calculating the true percentage profit when a seller uses a faulty weight and states a loss on the cost price.
Understanding the Seller's Actions
- The seller claims a 4% loss on the cost price (CP).
- The seller uses a weight of 20g but measures it as 25g.
Step-by-Step Calculation
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Assume the cost price (CP) of 1 gram of flower is $c$.
The intended weight is 25g. The cost price for 25g would be $25c$.
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The seller claims a 4% loss on the cost price. This means the selling price (SP) is calculated based on the cost of 25g.
SP = CP of 25g - (4% of CP of 25g)
SP = $25c - (0.04 \times 25c)$
SP = $25c - 1c$
SP = $24c$
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However, the seller only used 20g of weight. Therefore, the actual cost price incurred by the seller is the cost of 20g.
Actual CP = Cost of 20g = $20c$
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Now, calculate the actual profit. Profit = Selling Price (SP) - Actual Cost Price (CP)
Profit = $24c - 20c$
Profit = $4c$
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Calculate the percentage profit based on the *actual* cost price.
Percentage Profit = $(\frac{\text{Profit}}{\text{Actual CP}}) \times 100$
Percentage Profit = $(\frac{4c}{20c}) \times 100$
Percentage Profit = $(\frac{1}{5}) \times 100$
Percentage Profit = $20\%$
Conclusion
By using a faulty weight (20g instead of 25g) while applying a 4% loss calculation based on the intended weight, the seller makes an actual profit of 20%.
Similar Questions
- Newton is the unit to measure _____.
A shopkeeper cheats to the extent of $10\%$ while buying as well as while selling. While he was eventually caught and punished, at what percent was he gaining till then?
- A vendor claims to sell wheat at a loss of 50%, but he cheats by using weights that are 65% less than the stated weight. What is his actual profit percentage (round off to two decimal places)?
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A trader sells rice, claiming 1 kg but actually gives x grams. He marks the price 20% above the cost price and gives a 10% discount on the marked price. If his overall profit is 25%, find x.
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Important Questions from Dishonest Dealings
- A trader claims to sell pulses at a profit of 3%, but also dishonestly uses a weight which is 15% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)
- A trader claims to sell vegetables at a profit of 52%, but also dishonestly uses a weight which is 8% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)
A trader claims to sell fruits at a profit of 22%, but also dishonestly uses a weight which is 4% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)
- A trader claims to sell pulses at a profit of 48%, but also dishonestly uses a weight which is 12% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)
- A shopkeeper professes to sell his goods at a 20% loss but uses a false balance and gains 40%. The actual weight (rounded off to one decimal place) he uses for 1 kg is:
