On selling 17 balls at N720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is
A. N45 B. N50 C. N60 D. N55
Correct Answer: C
Explanation
To find the cost price of a ball, follow these steps:
1. Define Variables: - Let the cost price of one ball be \( C \). - The total cost price for 17 balls is \( 17C \). - The total selling price for 17 balls is \( 720 \).
2. Determine the Loss: - The loss is given as the cost price of 5 balls, so: \[ \text{Loss} = 5C \]
3. Use the Loss Formula: - Loss is the difference between the total cost price and the selling price: \[ \text{Loss} = 17C - 720 \] - According to the given information, this loss equals the cost price of 5 balls: \[ 17C - 720 = 5C \]
4. Solve for \( C \): - Rearrange the equation to solve for \( C \): \[ 17C - 5C = 720 \] \[ 12C = 720 \] \[ C = \frac{720}{12} = 60 \]