A dozen of chairs cost a woman 4800naira .if each was sold at 600naira.what is her gain or loss percent?

Answer 1

To determine whether the woman made a gain or a loss, and by what percentage, we need to compare the cost price to the selling price.

First, let’s calculate the cost price per chair:
- Total cost for a dozen chairs: 4800 naira
- Number of chairs in a dozen: 12
- Cost price per chair = Total cost / Number of chairs = 4800 naira / 12 = 400 naira per chair

Next, we need to know the selling price per chair:
- Selling price per chair = 600 naira

Now, we can find the gain per chair:
- Gain per chair = Selling price per chair - Cost price per chair = 600 naira - 400 naira = 200 naira

To find the gain percentage, we use the formula:
\[ \text{Gain Percentage} = \left( \frac{\text{Gain per chair}}{\text{Cost price per chair}} \right) \times 100 \]

Plugging in the numbers:
\[ \text{Gain Percentage} = \left( \frac{200}{400} \right) \times 100 = 0.5 \times 100 = 50\% \]

Therefore, her gain percentage is **50%**.