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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%


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

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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