Solution
Given:• Alex bought a smartwatch at $200 from his friend
• Alex sold that smartwatch to another friend at a certain price
To find:• The actual profit percentage of Alex
Approach and Working:As Alex purchased the smartwatch at a price of $200, we can say:
• The cost price of the smartwatch = $200
To find the profit percentage, we need to know the price at which Alex sold the smartwatch to his other friend. As no other information is provided in the question stem, let’s look into the analysis of the statements.
Analysing Statement 1• As per the information given in statement 1, Alex gave a discount of 25% while selling the watch
o As discount is calculated on the marked price or list price, from this statement, we cannot find out the selling price of the smartwatch as the marked price or list price is not mentioned
Hence, statement 1 is not sufficient to answer the question
Analysing Statement 2• As per the information given in statement 2, Alex made a profit of 33.3%, when calculated on the selling price
• If we assume the selling price to be x, then profit amount = 33.3% of x = \(\frac{1}{3} * x = \frac{x}{3}\)
• As we have cost price ($200), profit amount (\(\frac{x}{3}\)), and selling price (x), we can write:
o \(200 + \frac{x}{3} = x\)
o Solving this equation, we can find out the value of x
• Once we have the value of selling price(x), we can get the original profit percentage
Hence, statement 2 is sufficient to answer the question
Hence, the correct answer is option B.
Answer: B