If the selling price of 10 articles is equal to the cost price of 15 articles, then what is the profit percent?

Options

A. 33.33
B. 66.66
C. 50
D. 60

Answer

To find the profit percent when the selling price of 10 articles is equal to the cost price of 15 articles, follow these steps:

### Step 1: Define the Cost Price (CP) of One Article
Let the cost price of one article be \( CP = 1 \) rupee.

### Step 2: Calculate the Cost Price of 10 Articles
The cost price of 10 articles is:
\[ CP_{10} = 10 \times CP = 10 \times 1 = 10 \text{ rupees} \]

### Step 3: Calculate the Cost Price of 15 Articles
The cost price of 15 articles is:
\[ CP_{15} = 15 \times CP = 15 \times 1 = 15 \text{ rupees} \]

### Step 4: Set Up the Selling Price (SP) Equation
According to the problem, the selling price of 10 articles is equal to the cost price of 15 articles:
\[ SP_{10} = CP_{15} = 15 \text{ rupees} \]

### Step 5: Calculate the Selling Price of One Article
The selling price of one article can be calculated as:
\[ SP_{1} = \frac{SP_{10}}{10} = \frac{15}{10} = 1.5 \text{ rupees} \]

### Step 6: Calculate the Profit
Now, we can find the profit made on selling one article:
\[ \text{Profit} = SP_{1} - CP = 1.5 - 1 = 0.5 \text{ rupees} \]

### Step 7: Calculate the Profit Percentage
The profit percentage can be calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{CP} \right) \times 100 \]
Substituting the values:
\[ \text{Profit Percentage} = \left( \frac{0.5}{1} \right) \times 100 = 50\% \]

### Final Answer
The profit percent is **50%**.

---