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A dishonest trader uses a weight of 950g instead of 1kg. What is his percentage profit?
5.26%
4.75%
5%
5.5%
26%
Calculate the ratio of Gain to False Weight: 50/950=1/19. Recalling that 1/19тЙИ0.0526, multiply by 100 to get 5.26%.
True value is 1000g (1kg), but the trader uses a false weight of 950g.
Profit┬аPercentage=(False┬аWeightTrue┬аWeightтИТFalse┬аWeightтАЛ)├Ч100
Calculate the ratio of Gain to False Weight: 50/950=1/19. Recalling that 1/19тЙИ0.0526, multiply by 100 to get 5.26%.
Students often calculate the profit percentage based on the true weight (1000g) instead of the actual weight used (950g), leading to the incorrect answer of 5%.
Identify Gain and Cost Base
The trader gains 1000gтИТ950g=50g on every 950g sold.
Gain=50g
Apply Profit Formula
Profit is calculated over the actual quantity sold (950g), not the intended quantity (1000g).
Profit┬а%=(95050тАЛ)├Ч100
Final Calculation
Simplify the fraction to 1/19 and convert to a decimal.
191тАЛ├Ч100тЙИ5.26%
A is correct because the gain of 50g over an actual outlay of 950g results in a profit percentage of approximately 5.26%.
This concept is identical to margin calculation in Accounting, where profit is expressed as a percentage of the actual cost incurred rather than the selling price.
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