Question : A dishonest merchant sells goods at a 12.5% loss on the cost price but uses 28 g weight instead of 36 g. What is his percentage profit or loss?
Option 1: 6.25% loss
Option 2: 12.5% gain
Option 3: 18.75% gain
Option 4: 10.5% loss
Correct Answer: 12.5% gain
Solution :
Let the cost price of 1 gm be Rs. 1.
The cost price of 28 gm = Rs. 28
The cost price of 36 gm = Rs. 36
Selling price after 12.5% loss on 36 gm packet = $\frac{100-12.5}{100}\times 36$ = Rs. 31.5
Here the cost price is denoted by CP, the selling price is denoted by SP.
Profit% = $\frac{SP-CP}{CP}\times 100$
= $\frac{31.5-28}{28}\times 100$
= 12.5%
Hence, the correct answer is a 12.5% gain.
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