An article is marked at ₹ 8,000. A trader bought it at successive discounts of 25% and 10% respectively. He spent ₹ 1,350 on its transportation to his shop and then sold the article for ₹ 15,000. What is trader's profit% in the whole transaction?

Options

A. `16(2)/(3)%`
B. `28%`
C. `30%`
D. `11(1)/(9)%`

Explanation

To solve the problem step by step, we will calculate the cost price of the article after applying the discounts, add the transportation cost, and then calculate the profit percentage based on the selling price.

### Step 1: Calculate the Selling Price after Discounts
- The marked price of the article is ₹8,000.
- The first discount is 25%.

Discount amount = 25% of ₹8,000
= (25/100) * 8,000
= ₹2,000

- Selling price after first discount = Marked price - Discount amount
= ₹8,000 - ₹2,000
= ₹6,000

- The second discount is 10% on the selling price after the first discount.

Discount amount = 10% of ₹6,000
= (10/100) * 6,000
= ₹600

- Selling price after second discount = Selling price after first discount - Discount amount
= ₹6,000 - ₹600
= ₹5,400

### Step 2: Calculate the Total Cost Price
- The trader spent ₹1,350 on transportation.
- Therefore, the total cost price (CP) of the article = Cost price after discounts + Transportation cost
= ₹5,400 + ₹1,350
= ₹6,750

### Step 3: Calculate the Selling Price
- The article was sold for ₹15,000.

### Step 4: Calculate the Profit
- Profit = Selling Price - Cost Price
= ₹15,000 - ₹6,750
= ₹8,250

### Step 5: Calculate the Profit Percentage
- Profit Percentage = (Profit / Cost Price) * 100
= (₹8,250 / ₹6,750) * 100
= 122.22%

### Final Answer
The trader's profit percentage in the whole transaction is approximately **122.22%**.

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