Question

If selling price of an item is doubled, the profit will be tripled. What is the original profit percentage?

• A. 50%
• B. 100%
• C. 66.66%
• D. 150%

Hint:

If $SP = 2CP$, profit is always 100%.

Answer 1

The Correct Option is B

Step 1: Concept
Let Cost Price be $CP$ and original Selling Price be $SP$. Original Profit $P = SP - CP$.

Step 2: Analysis
According to the problem, if $SP$ is doubled ($2SP$), the new profit becomes $3P$. So, $3P = 2SP - CP$. Substitute $P = SP - CP$ into the equation: $3(SP - CP) = 2SP - CP$ $3SP - 3CP = 2SP - CP$ $3SP - 2SP = 3CP - CP$ $SP = 2CP$.

Step 3: Calculation
Original Profit $P = SP - CP = 2CP - CP = CP$. Profit Percentage $= (\frac{Profit}{CP}) \times 100 = (\frac{CP}{CP}) \times 100 = 100%$.

Step 4: Conclusion
Hence, the original profit percentage is 100%. Final Answer: (B)