Question : The cost price of 50 articles is the same as the selling price of $x$ articles. If there is a profit of 25 percent, then what is the value of $x$?
Option 1: 20
Option 2: 40
Option 3: 30
Option 4: 25
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Correct Answer: 40
Solution : Let the cost price of one article be C and the selling price of one article be S. Given that the cost price of 50 articles is the same as the selling price of $x$ articles. ⇒ 50 × C = $x$ × S It's also given that there is a profit of 25 percent. ⇒ S = C + 0.25C = 1.25C Substituting the second equation into the first equation, ⇒ 50C = $x$ × (1.25C) ⇒ $x$ = $\frac{50}{1.25}$ = 40 Hence, the correct answer is 40.
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