The cost price of each of the articles A and B is Rs 'x'. Article A was sold at a profit of 10% and article B was sold at a profit of 30%. If the overall profit earned after selling both the articles is rs 136, what is the value of 'x'?

Options

A. Rs 325
B. Rs300
C. Rs360
D. Rs380

Answer

To solve the problem step by step, we need to find the cost price 'x' of articles A and B based on the given profit percentages and overall profit.

### Step-by-Step Solution:

1. **Understand the Problem**:
- The cost price of both articles A and B is Rs 'x'.
- Article A is sold at a profit of 10%.
- Article B is sold at a profit of 30%.
- The total profit from selling both articles is Rs 136.

2. **Calculate the Selling Price of Each Article**:
- For Article A:
- Profit = 10% of x = (10/100) * x = 0.1x
- Selling Price of A = Cost Price + Profit = x + 0.1x = 1.1x
- For Article B:
- Profit = 30% of x = (30/100) * x = 0.3x
- Selling Price of B = Cost Price + Profit = x + 0.3x = 1.3x

3. **Calculate the Total Selling Price**:
- Total Selling Price = Selling Price of A + Selling Price of B
- Total Selling Price = 1.1x + 1.3x = 2.4x

4. **Calculate the Total Cost Price**:
- Total Cost Price = Cost Price of A + Cost Price of B
- Total Cost Price = x + x = 2x

5. **Calculate the Total Profit**:
- Total Profit = Total Selling Price - Total Cost Price
- Total Profit = 2.4x - 2x = 0.4x

6. **Set Up the Equation**:
- We know from the problem that the total profit is Rs 136.
- Therefore, we can set up the equation:
\[ 0.4x = 136 \]

7. **Solve for x**:
- To find x, divide both sides by 0.4:
\[ x = \frac{136}{0.4} \]
- Calculate the right-hand side:
\[ x = 136 \div 0.4 = 340 \]

8. **Conclusion**:
- The value of 'x' is Rs 340.

### Final Answer:
The cost price of each article A and B is Rs 340.