What price should a shopkeeper mark on an article costing him Rs 200 to gain 35% after allowing a discount of 25% ?

Options

A. Rs 270
B. Rs. 300
C. Rs. 330
D. Rs. 360

Answer

To find the marked price (MP) that a shopkeeper should set on an article costing him Rs 200 to gain a profit of 35% after allowing a discount of 25%, we can follow these steps:

### Step 1: Calculate the Selling Price (SP)
To gain a profit of 35% on the cost price (CP), we first need to calculate the selling price (SP).

\[ \text{SP} = \text{CP} + \text{Profit} \]
\[ \text{Profit} = 35\% \text{ of CP} = 0.35 \times 200 = 70 \]
\[ \text{SP} = 200 + 70 = 270 \]

### Step 2: Relate Selling Price to Marked Price
The selling price is also related to the marked price (MP) through the discount given. If a discount of 25% is allowed on the marked price, we can express the selling price as:

\[ \text{SP} = \text{MP} - \text{Discount} \]
\[ \text{Discount} = 25\% \text{ of MP} = 0.25 \times \text{MP} \]
Thus, we can rewrite the equation as:

\[ \text{SP} = \text{MP} - 0.25 \times \text{MP} = 0.75 \times \text{MP} \]

### Step 3: Set Up the Equation
Now we can set the two expressions for SP equal to each other:

\[ 0.75 \times \text{MP} = 270 \]

### Step 4: Solve for Marked Price
To find the marked price (MP), we can rearrange the equation:

\[ \text{MP} = \frac{270}{0.75} \]
\[ \text{MP} = 360 \]

### Conclusion
The marked price that the shopkeeper should set on the article is Rs 360.

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