After allowing a 10% discount on the marked price of an article, a dealer makes a profit of 5%. What is the marked price, if the cost price of the article is ₹300?

Options

A. ₹400
B. ₹375
C. ₹320
D. ₹350

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Understand the given data
- Cost Price (CP) = ₹300
- Profit Percentage = 5%
- Discount Percentage = 10%

### Step 2: Calculate the Selling Price (SP)
The Selling Price can be calculated using the formula:
\[ SP = CP \times \left(1 + \frac{\text{Profit Percentage}}{100}\right) \]
Substituting the values:
\[ SP = 300 \times \left(1 + \frac{5}{100}\right) = 300 \times \left(1 + 0.05\right) = 300 \times 1.05 = 315 \]
So, the Selling Price (SP) is ₹315.

### Step 3: Calculate the Marked Price (MP)
The Marked Price can be calculated using the formula:
\[ MP = \frac{SP \times 100}{100 - \text{Discount Percentage}} \]
Substituting the values:
\[ MP = \frac{315 \times 100}{100 - 10} = \frac{315 \times 100}{90} \]
Calculating this:
\[ MP = \frac{31500}{90} = 350 \]
So, the Marked Price (MP) is ₹350.

### Final Answer
The marked price of the article is ₹350.

---