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. a)1225
B. b)1080
C. c)1280
D. d)1155

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the Marked Price
The trader marks up his goods by 120%. This means that if the cost price (CP) is 100%, the marked price (MP) will be:
\[ MP = CP + (120\% \text{ of } CP) \]
Given that the cost price (CP) is Rs 750, we first express this in terms of percentage:
\[ MP = 750 + (120\% \text{ of } 750) \]
Calculating 120% of 750:
\[ 120\% \text{ of } 750 = \frac{120}{100} \times 750 = 1.2 \times 750 = 900 \]
Thus, the marked price is:
\[ MP = 750 + 900 = 1650 \]

### Step 2: Calculate the Discount
The trader offers a discount of 30% on the marked price. We calculate the discount amount:
\[ \text{Discount} = 30\% \text{ of } MP \]
Calculating 30% of 1650:
\[ 30\% \text{ of } 1650 = \frac{30}{100} \times 1650 = 0.3 \times 1650 = 495 \]

### Step 3: Calculate the Selling Price
The selling price (SP) is calculated by subtracting the discount from the marked price:
\[ SP = MP - \text{Discount} \]
Substituting the values we found:
\[ SP = 1650 - 495 = 1155 \]

### Final Answer
The selling price of the goods is Rs 1155.

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