Question : A dishonest dealer sells a product at an 11% loss on cost price but uses 22% less weight. What is his percentage profit or loss?
Option 1: 14.1% loss
Option 2: 14.1% gain
Option 3: 11.4% gain
Option 4: 11.4 % loss
Correct Answer: 14.1% gain
Solution :
Here cost price is denoted by CP, and the selling price is denoted by SP.
Let his good contains 1 kg.
Its actual weight is 22% of 1000 g = 780 g
Let the CP of each gm be Re. 1.
Then CP of 780 gm = Rs. 780
With 11% loss, SP = 89% of CP of 1 kg
⇒ SP = $\frac{89}{100}$ × 1000 = Rs. 890
Profit = 890 − 780 = Rs. 110
Profit % =$\frac{110}{780}$ × 100 = 14.1%
Hence, the correct answer is a 14.1% gain.
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