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

Options

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

Answer

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

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

### Step 2: Calculate the Selling Price (SP) after profit
To find the Selling Price (SP) that includes the desired profit, we can use the formula:
\[ SP = CP + (Profit \% \times CP) \]
Calculating the profit:
\[ Profit = 25\% \text{ of } 900 = \frac{25}{100} \times 900 = 225 \]
Thus, the Selling Price (SP) will be:
\[ SP = 900 + 225 = 1125 \]

### Step 3: Relate Selling Price to Marked Price (MP)
The Selling Price (SP) is also related to the Marked Price (MP) after applying the discount. The formula for this relationship is:
\[ SP = MP - (Discount \% \times MP) \]
This can be rewritten as:
\[ SP = MP \times \left(1 - \frac{Discount \%}{100}\right) \]
Substituting the values:
\[ 1125 = MP \times \left(1 - \frac{10}{100}\right) \]
This simplifies to:
\[ 1125 = MP \times 0.90 \]

### Step 4: Solve for Marked Price (MP)
To find the Marked Price (MP), we can rearrange the equation:
\[ MP = \frac{1125}{0.90} \]
Calculating this gives:
\[ MP = 1250 \]

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