Question

A sports shop earns profit equivalent to cost price of \(4\) cricket bats on selling of \(20\) cricket bats. Calculate its percentage.

• A. \(20\%\)
• B. \(22\%\)
• C. \(25\%\)
• D. \(30\%\)

Hint:

Profit percentage is always calculated on cost price: \(\text{Profit \%}=\frac{\text{Profit}}{\text{CP}}\times100\).

Answer 1

The Correct Option is A

Step 1: Understanding the Question:
The problem presents a situation where the total profit gained from selling 20 cricket bats is equal to the cost price of 4 cricket bats. We need to calculate this profit percentage.

Step 2: Key Formula or Approach:
The profit percentage based on cost price is calculated as: \[ \text{Profit \%} = \frac{\text{Profit}}{\text{Total Cost Price}} \times 100 \]

Step 3: Detailed Explanation:

• Let the Cost Price (CP) of 1 cricket bat be $x$.

• The total Cost Price of 20 cricket bats is: \[ \text{Total CP} = 20x \]
• According to the problem statement, the profit is equal to the cost price of 4 bats: \[ \text{Profit} = 4x \]
• Now, we calculate the profit percentage: \[ \text{Profit \%} = \frac{\text{Profit}}{\text{Total CP}} \times 100 \] \[ \text{Profit \%} = \frac{4x}{20x} \times 100 = \frac{1}{5} \times 100 = 20\% \]

Step 4: Final Answer:
The profit percentage is 20%, matching Option (A).