The cost of manufacturing an article was Rs. 900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :

Options

A. Rs. 1500
B. Rs. 1250
C. Rs. 1200
D. Rs. 1000

Answer

To solve the problem step by step, we need to determine the marked price (MP) based on the given cost price (CP), desired profit percentage, and discount percentage.

### Step 1: Identify the given values
- Cost Price (CP) = Rs. 900
- Desired Profit Percentage = 25%
- Discount Percentage = 10%

### Step 2: Calculate the Selling Price (SP)
To find the Selling Price (SP) after achieving the desired profit, we can use the formula:

\[ SP = CP + (Profit \% \times CP) \]

Calculating the profit:

\[ Profit = 25\% \text{ of } 900 = \frac{25}{100} \times 900 = 225 \]

Now, calculate the Selling Price:

\[ SP = 900 + 225 = 1125 \]

### Step 3: Relate Selling Price to Marked Price using Discount
The Selling Price is also related to the Marked Price (MP) through the discount given. The formula is:

\[ SP = MP - (Discount \% \times MP) \]

This can be rewritten as:

\[ SP = MP \times \left(1 - \frac{Discount \%}{100}\right) \]

Substituting the discount percentage:

\[ SP = MP \times \left(1 - \frac{10}{100}\right) = MP \times 0.9 \]

### Step 4: Set up the equation using the Selling Price
Now we can substitute the Selling Price we calculated earlier into the equation:

\[ 1125 = MP \times 0.9 \]

### Step 5: Solve for Marked Price (MP)
To find the Marked Price, we rearrange the equation:

\[ MP = \frac{1125}{0.9} \]

Calculating the Marked Price:

\[ MP = 1250 \]

### Conclusion
The marked price must be Rs. 1250.