A trader marks his product 30% above his cost price and then offers a 30% discount .Find his cost price if the incurs a loss Rs 900. (in Rs)

Options

A. 12000
B. 10000
C. 9000
D. 8000

Explanation

To solve the problem step by step, we will follow the given information and perform the necessary calculations.

### Step 1: Define the Cost Price
Let's assume the cost price (CP) of the product is Rs 100x.

### Step 2: Calculate the Marked Price
The trader marks his product 30% above the cost price. Therefore, the marked price (MP) can be calculated as:
\[ MP = CP + 30\% \text{ of } CP = 100x + 0.30 \times 100x = 100x + 30x = 130x \]

### Step 3: Calculate the Selling Price after Discount
The trader offers a discount of 30% on the marked price. The selling price (SP) after the discount can be calculated as:
\[ SP = MP - 30\% \text{ of } MP = 130x - 0.30 \times 130x = 130x - 39x = 91x \]

### Step 4: Set Up the Loss Equation
We know that the trader incurs a loss of Rs 900. The loss can be calculated as:
\[ \text{Loss} = CP - SP \]
Substituting the values we have:
\[ 900 = 100x - 91x \]
This simplifies to:
\[ 900 = 9x \]

### Step 5: Solve for x
To find the value of x, we divide both sides by 9:
\[ x = \frac{900}{9} = 100 \]

### Step 6: Calculate the Cost Price
Now, substituting the value of x back into the cost price:
\[ CP = 100x = 100 \times 100 = 10000 \]

Thus, the cost price of the product is Rs 10,000.

### Final Answer
The cost price of the product is Rs 10,000.

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