To solve the problem step by step, we will calculate the selling prices of articles A and B, their respective cost prices, and finally the profit earned from each article. Then, we will find the difference between the profits.
### Step 1: Calculate the Selling Price of Article A
- The marked price of Article A is ₹12,000.
- The discount on Article A is 15%.
- Selling Price (SP) = Marked Price - Discount
- Discount = 15% of ₹12,000 = (15/100) * 12,000 = ₹1,800
- Therefore, SP of Article A = ₹12,000 - ₹1,800 = ₹10,200.
### Step 2: Calculate the Selling Price of Article B
- The marked price of Article B is ₹11,000.
- The discount on Article B is 10%.
- Selling Price (SP) = Marked Price - Discount
- Discount = 10% of ₹11,000 = (10/100) * 11,000 = ₹1,100
- Therefore, SP of Article B = ₹11,000 - ₹1,100 = ₹9,900.
### Step 3: Calculate the Cost Price of Article A
- Article A is sold at a profit of 20%.
- Selling Price (SP) = Cost Price (CP) + Profit
- Since the profit is 20%, SP = CP + 20% of CP = 120% of CP.
- Therefore, CP of Article A = SP / (120/100) = ₹10,200 / (120/100) = ₹10,200 * (100/120) = ₹8,500.
### Step 4: Calculate the Cost Price of Article B
- Article B is sold at a profit of 10%.
- Selling Price (SP) = Cost Price (CP) + Profit
- Since the profit is 10%, SP = CP + 10% of CP = 110% of CP.
- Therefore, CP of Article B = SP / (110/100) = ₹9,900 / (110/100) = ₹9,900 * (100/110) = ₹9,000.
### Step 5: Calculate the Profit Earned from Article A
- Profit from Article A = Selling Price - Cost Price
- Profit = ₹10,200 - ₹8,500 = ₹1,700.
### Step 6: Calculate the Profit Earned from Article B
- Profit from Article B = Selling Price - Cost Price
- Profit = ₹9,900 - ₹9,000 = ₹900.
### Step 7: Calculate the Difference in Profits
- Difference = Profit from Article A - Profit from Article B
- Difference = ₹1,700 - ₹900 = ₹800.
### Final Answer
The difference between the profit earned by selling Article A and Article B is ₹800.
---
