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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