A trader procures his goods from a wholesaler, whose balance reads 1200 g for 1000 g. The trader sells all the procured goods to a customer after marking up the goods at`20%` above the cost price. What is his overall percentage profit or loss in the whole transaction?

Options

A. `38%` profit
B. `50%` profit
C. no profit no loss
D. none of the above

Answer

To solve the problem step by step, we will first determine the cost price of the goods for the trader, then calculate the selling price after the markup, and finally compute the overall profit or loss percentage.

### Step 1: Determine the Effective Weight of Goods Purchased
The wholesaler's balance reads 1200 grams for 1000 grams. This means that when the trader buys 1000 grams, he actually receives 1200 grams.

### Step 2: Assume a Cost Price
Let's assume the cost price (CP) of 1000 grams of goods is `C` (in any currency).

### Step 3: Calculate the Cost Price per Gram
The cost price per gram can be calculated as:
\[ \text{Cost Price per gram} = \frac{C}{1000} \]

### Step 4: Calculate the Total Cost Price for 1200 grams
Since the trader receives 1200 grams for the cost of 1000 grams, the total cost price for 1200 grams is:
\[ \text{Total Cost Price (TCP)} = C \]

### Step 5: Calculate the Selling Price after Markup
The trader marks up the goods by 20% above the cost price. Therefore, the selling price (SP) for 1000 grams is:
\[ \text{Selling Price (SP)} = C + 0.20C = 1.20C \]

### Step 6: Calculate the Selling Price for 1200 grams
Since the trader sells 1200 grams, the selling price for 1200 grams is:
\[ \text{Selling Price for 1200 grams} = 1.20C \]

### Step 7: Calculate Profit
Profit can be calculated using the formula:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]
Substituting the values:
\[ \text{Profit} = 1.20C - C = 0.20C \]

### Step 8: Calculate Profit Percentage
Profit percentage can be calculated using the formula:
\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{Cost Price}} \times 100\right) \]
Substituting the values:
\[ \text{Profit Percentage} = \left(\frac{0.20C}{C} \times 100\right) = 20\% \]

### Final Answer
The overall percentage profit in the whole transaction is **20%**.

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