If Seema sells 16 articles for the same money as she pays for 20, then her gain percentage Is

Options

A. 0.2
B. 0.22
C. 0.25
D. 0.28

Answer

To find Seema's gain percentage, we can follow these steps:

### Step 1: Understand the relationship between selling price and cost price.
We know that Seema sells 16 articles for the same money that she pays for 20 articles. This means:
- Selling Price (SP) of 16 articles = Cost Price (CP) of 20 articles.

### Step 2: Define the cost price and selling price.
Let the cost price of one article be \( CP \).
Then, the total cost price for 20 articles is:
\[ CP_{total} = 20 \times CP \]

Let the selling price of one article be \( SP \).
The total selling price for 16 articles is:
\[ SP_{total} = 16 \times SP \]

From the information given, we can equate the two:
\[ 16 \times SP = 20 \times CP \]

### Step 3: Express the selling price in terms of cost price.
From the equation \( 16 \times SP = 20 \times CP \), we can solve for \( SP \):
\[ SP = \frac{20}{16} \times CP \]
\[ SP = \frac{5}{4} \times CP \]

### Step 4: Calculate the profit.
Now, we can find the profit made on each article:
\[ \text{Profit} = SP - CP \]
Substituting \( SP \):
\[ \text{Profit} = \left(\frac{5}{4} \times CP\right) - CP \]
\[ \text{Profit} = \frac{5}{4}CP - \frac{4}{4}CP \]
\[ \text{Profit} = \frac{1}{4}CP \]

### Step 5: Calculate the gain percentage.
The gain percentage is calculated using the formula:
\[ \text{Gain Percentage} = \left(\frac{\text{Profit}}{CP}\right) \times 100 \]
Substituting the profit:
\[ \text{Gain Percentage} = \left(\frac{\frac{1}{4}CP}{CP}\right) \times 100 \]
\[ \text{Gain Percentage} = \left(\frac{1}{4}\right) \times 100 \]
\[ \text{Gain Percentage} = 25\% \]

### Final Answer:
Seema's gain percentage is **25%**.

---