The cost of manufacture of an article was 900 rs. The trader wants to gain 25% after giving a discount of 10%. The marked price should be :
एक वस्तु की निर्माण लागत Rs 900 थी। एक व्यापारी उस पर 10% छूट देकर 25% लाभ लेना चाहता है। तदनुसार, उसका अंकित मूल्य कितना होना चाहिए?

Options

A. A)1000 rs.
B. B)1500 rs.
C. C)1250 rs.
D. D)1200 rs.

Explanation

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

### Step 1: Calculate the Selling Price (SP)
The cost price (CP) of the article is given as Rs 900. The trader wants to gain 25% profit on this cost price.

\[ \text{Profit} = \text{CP} \times \frac{25}{100} = 900 \times 0.25 = 225 \]

Now, we can find the selling price (SP):

\[ \text{SP} = \text{CP} + \text{Profit} = 900 + 225 = 1125 \]

### Step 2: Calculate the Marked Price (MP)
The trader plans to give a discount of 10% on the marked price. This means that the selling price is 90% of the marked price.

Let the marked price be \( MP \). According to the discount:

\[ \text{SP} = MP \times (1 - \text{Discount}) \]

Substituting the known values:

\[ 1125 = MP \times (1 - 0.10) \]

This simplifies to:

\[ 1125 = MP \times 0.90 \]

### Step 3: Solve for Marked Price (MP)
Now, we can solve for \( MP \):

\[ MP = \frac{1125}{0.90} = 1250 \]

Thus, the marked price should be Rs 1250.

### Final Answer
The marked price should be Rs 1250.

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