A trader marks his goods in such a way that even after allowing 15% discount on marked price he still gains 27.5%. If the cost price of the goods is 200, then its marked price is:

Options

A. Rs 300
B. Rs 250
C. Rs 400
D. Rs 350

Answer

To find the marked price of the goods, we can follow these steps:

### Step 1: Determine the Selling Price
The cost price (CP) of the goods is given as 200. The trader gains 27.5% on the cost price.

To calculate the selling price (SP), we can use the formula:
\[ SP = CP + \text{Gain} \]
Where Gain is calculated as:
\[ \text{Gain} = \frac{27.5}{100} \times CP \]

Substituting the values:
\[ \text{Gain} = \frac{27.5}{100} \times 200 = 55 \]
Now, substituting back to find SP:
\[ SP = 200 + 55 = 255 \]

### Step 2: Relate Selling Price to Marked Price
The trader allows a discount of 15% on the marked price (MP). After applying the discount, the selling price can be expressed as:
\[ SP = MP - \text{Discount} \]
The discount can be calculated as:
\[ \text{Discount} = \frac{15}{100} \times MP = 0.15 \times MP \]
Thus, we can rewrite the equation as:
\[ SP = MP - 0.15 \times MP = 0.85 \times MP \]

### Step 3: Set Up the Equation
Now we can set up the equation using the selling price we calculated:
\[ 255 = 0.85 \times MP \]

### Step 4: Solve for Marked Price
To find the marked price (MP), we can rearrange the equation:
\[ MP = \frac{255}{0.85} \]
Calculating this gives:
\[ MP = 300 \]

### Final Answer
The marked price of the goods is **300**.

---