Question : If the cost price of 10 articles is equal to the selling price of 15 articles, then what is the loss percentage?
Option 1: 25%
Option 2: 50%
Option 3: 33.33%
Option 4: 20%
Correct Answer: 33.33%
Solution :
Let the cost price of one article be Re. 1.
$\therefore$ Cost price of 10 articles = Rs. 10
Now the cost price of 10 articles = the selling price of 15 articles
Selling price of 1 article $=\frac{10}{15}=\frac{2}{3}$
$\therefore$ Loss percentage
= $[\frac{\text{Cost price – Selling price}}{\text{Cost price}}] \times100$
= $[\frac{1 - \frac{2}{3}}{1}] \times100$
= $33.33\%$
Hence, the correct answer is 33.33%.
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