A person bought some article at rate of 6 for Rs 20 and bought double number of articles at the rate of 8 for Rs 26. And sold all the stock at the rate of 24 for Rs 118. Find the profit or loss% ?

Answer

To solve the problem step by step, let's break it down:

### Step 1: Calculate the Cost Price (CP) of the first set of articles
The person bought articles at the rate of 6 for Rs. 20.
- Cost Price for 1 article = Rs. 20 / 6 = Rs. 3.33 (approximately)

### Step 2: Calculate the total number of articles in the first purchase
Let’s assume the person bought 'x' articles.
- Total articles bought = 6
- Total cost for this purchase = Rs. 20

### Step 3: Calculate the Cost Price (CP) of the second set of articles
The person bought double the number of articles (i.e., 12 articles) at the rate of 8 for Rs. 26.
- Cost Price for 1 article = Rs. 26 / 8 = Rs. 3.25 (approximately)

### Step 4: Calculate the total cost for the second purchase
- Total articles bought = 12
- Total cost for this purchase = Rs. 26

### Step 5: Calculate the total Cost Price (CP) for all articles
- Total CP = Cost of first purchase + Cost of second purchase
- Total CP = Rs. 20 + Rs. 26 = Rs. 46

### Step 6: Calculate the Selling Price (SP) of all articles
The total stock is sold at the rate of 24 for Rs. 118.
- Total articles sold = 24
- Selling Price = Rs. 118

### Step 7: Calculate the total Selling Price (SP) for all articles
- Total SP = Rs. 118

### Step 8: Calculate Profit or Loss
Profit or Loss = Total SP - Total CP
- Profit or Loss = Rs. 118 - Rs. 46 = Rs. 72

### Step 9: Calculate Profit Percentage
Profit Percentage = (Profit / Total CP) × 100
- Profit Percentage = (Rs. 72 / Rs. 46) × 100 = 156.52% (approximately)

### Final Answer
The profit percentage is approximately **156.52%**.

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