Question : A dishonest dealer announces selling his articles with 22% loss but uses 35% lighter weights. What is the percentage of his profit or loss?
Option 1: 20% Loss
Option 2: 13% profit
Option 3: 13% loss
Option 4: 20% profit
Correct Answer: 20% profit
Solution : Given, A dishonest dealer announces selling his articles with a 22% loss but uses 35% lighter weights. Let the cost price be INR 100. According to the question, The dealers sell it at a loss of 22%. Selling Price = 100 – $\frac{22}{100}\times 100$ = 100 – 22 = INR 78 Also, for 1000 g he is selling 1000 – $\frac{35}{100}\times 1000$ = 650 g This means, he is selling his articles for INR 78 when their actual price is INR 65 So, Profit percentage = $\frac{78-65}{65}\times100$ = $\frac{13}{65}\times 100$ = 20% Hence, the correct answer is 20% profit.
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