A trader marks up his goods by 120% and offers 30% discount. What will be the selling price (in Rs.) If the cost price is Rs. 750 ?

Options

A. 1225
B. 1080
C. 1280
D. 1155

Answer

To find the selling price of the goods after a markup and a discount, we can follow these steps:

### Step 1: Calculate the Marked Price
The trader marks up his goods by 120%. The cost price (CP) is Rs. 750.

**Formula:**
\[ \text{Marked Price (MP)} = \text{Cost Price (CP)} + \left(\frac{\text{Markup Percentage}}{100} \times \text{Cost Price (CP)}\right) \]

**Calculation:**
\[ \text{MP} = 750 + \left(\frac{120}{100} \times 750\right) \]
\[ \text{MP} = 750 + (1.2 \times 750) \]
\[ \text{MP} = 750 + 900 \]
\[ \text{MP} = 1650 \]

### Step 2: Calculate the Selling Price after Discount
The trader offers a discount of 30% on the marked price.

**Formula:**
\[ \text{Selling Price (SP)} = \text{Marked Price (MP)} - \left(\frac{\text{Discount Percentage}}{100} \times \text{Marked Price (MP)}\right) \]

**Calculation:**
\[ \text{SP} = 1650 - \left(\frac{30}{100} \times 1650\right) \]
\[ \text{SP} = 1650 - (0.3 \times 1650) \]
\[ \text{SP} = 1650 - 495 \]
\[ \text{SP} = 1155 \]

### Final Answer
The selling price of the goods after the markup and discount is Rs. 1155.

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