Question : By selling 4 articles for Re. 1, a man loses 4%. Had he sold three articles for Re. 1, the profit would have been:
Option 1: 30%
Option 2:
28%
Option 3:
16%
Option 4:
12%
Correct Answer:
28%
Solution :
Let the cost price of one article be $\mathrm{C}$.
If the man sells $4$ articles for Re. 1.
Then the selling price of one article $=\frac{1}{4} $
Given that he loses $4\%$.
So, $\frac{1}{4} = \mathrm{C} - 4$% of $\mathrm{C}= \frac{96}{100}C$
$⇒\mathrm{C} = \frac{25}{96} $
Now, if he sells three articles for Re. 1.
Then the selling price of one article $=\frac{1}{3} $
The profit percentage $=\frac{\frac{1}{3}-{ \frac{25}{96}}}{ \frac{25}{96}} \times 100 = 28\%$
Hence, the correct answer is 28%.
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