If the selling price of a flower vase is `5/6` of its cost price, find the loss per cent.

Answer

To solve the problem, we will follow these steps:

### Step 1: Define the variables
Let the cost price (CP) of the flower vase be \( x \).

### Step 2: Determine the selling price (SP)
According to the problem, the selling price (SP) is \( \frac{5}{6} \) of the cost price. Therefore, we can express it as:
\[ SP = \frac{5}{6} \times x \]

### Step 3: Calculate the loss
Loss can be calculated using the formula:
\[ \text{Loss} = \text{Cost Price} - \text{Selling Price} \]
Substituting the values we have:
\[ \text{Loss} = x - \frac{5}{6}x \]
To simplify this, we can factor out \( x \):
\[ \text{Loss} = x \left(1 - \frac{5}{6}\right) = x \left(\frac{1}{6}\right) = \frac{x}{6} \]

### Step 4: Calculate the loss percentage
Loss percentage is calculated using the formula:
\[ \text{Loss Percentage} = \left(\frac{\text{Loss}}{\text{Cost Price}}\right) \times 100 \]
Substituting the values we have:
\[ \text{Loss Percentage} = \left(\frac{\frac{x}{6}}{x}\right) \times 100 \]
This simplifies to:
\[ \text{Loss Percentage} = \frac{1}{6} \times 100 = \frac{100}{6} \approx 16.67\% \]

### Final Answer:
The loss percentage is approximately \( 16.67\% \).

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