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The problem asks to find the selling price of each blanket, given some details about the profits and costs. Let's break down the problem systematically:

### Problem Summary:
1. The selling price (SP) of two blankets is the same.
2. One blanket is sold at a **66⅔% profit** (which is **2/3** as a fraction).
3. The cost price (CP) of the second blanket is ₹400 less than its SP.
4. The total profit on selling both blankets is **50%**.

We need to find the **selling price** of each blanket.

### Step-by-Step Solution:

Let the **selling price** of each blanket be \( x \).

#### Blanket 1:
- The first blanket is sold at a **66⅔% profit**, which means the profit fraction is \( \frac{2}{3} \).
- So, the **cost price** (CP) of the first blanket would be:
  \[
  CP_1 = \frac{SP_1}{1 + \frac{2}{3}} = \frac{x}{\frac{5}{3}} = \frac{3}{5}x
  \]

#### Blanket 2:
- For the second blanket, the **cost price** is ₹400 less than the selling price.
  \[
  CP_2 = x - 400
  \]

#### Total Profit:
The total profit on selling both blankets is 50%, which means:
- Total **cost price** of both blankets:
  \[
  CP_{\text{total}} = CP_1 + CP_2 = \frac{3}{5}x + (x - 400)
  \]
- Total **selling price** of both blankets is \( 2x \).
- The profit percentage is 50%, so:
  \[
  SP_{\text{total}} = CP_{\text{total}} + \text{Profit} = CP_{\text{total}} \times 1.5
  \]

Thus, we get the equation:
\[
2x = 1.5 \left( \frac{3}{5}x + (x - 400) \right)
\]

Now, let's solve this equation.It seems like there was an issue while calculating the solution. Let me walk you through the process manually:

### We left off with the equation:
\[
2x = 1.5 \left( \frac{3}{5}x + (x - 400) \right)
\]

Let's simplify the right-hand side:

1. Expand:
   \[
   1.5 \times \left( \frac{3}{5}x + x - 400 \right) = 1.5 \times \left( \frac{8}{5}x - 400 \right)
   = \frac{12}{5}x - 600
   \]

2. Now we equate both sides:
   \[
   2x = \frac{12}{5}x - 600
   \]

3. Multiply through by 5 to eliminate fractions:
   \[
   10x = 12x - 3000
   \]

4. Simplify:
   \[
   10x - 12x = -3000
   \]
   \[
   -2x = -3000
   \]

5. Solving for \( x \):
   \[
   x = 1500
   \]

### Conclusion:
The **selling price** of each blanket is ₹1500.

Would you like further details or have any questions?

---

Here are 5 related questions:
1. What is the cost price of the first blanket?
2. How much profit was made on the second blanket?
3. What would the total profit be if the selling price was increased by 10%?
4. If the selling price of both blankets was ₹1800, how would the profit percentage change?
5. Can you verify the total profit made from selling both blankets?

**Tip:** Always verify cost-price-profit relationships using percentages to avoid confusion with calculations.

The selling price of 2 blankets is the same. One of the blankets is sold at 66⅔% profit and the cost price (CP) of the other blanket is ₹400 less than its selling price (SP). The total profit on selling both blankets is 50%. Find the selling price of each blanket.

Learn how to solve a profit and loss problem where two blankets have the same selling price but different cost prices. One is sold at 66⅔% profit, while the cost price of the second blanket is ₹400 less than its selling price. The total profit on both blankets is 50%. Suitable for students in Grades 10-12.

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