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Let's analyze and solve the problem step by step:

### Given Data:
1. **Cost price of article A** = ₹160
2. **Selling price of article B** = ₹240
3. **Selling price of article A** = Cost price of article B
4. Profit on article A = 20%

### Step 1: Find the cost price of article B.

From the problem, we know that the selling price of article A is equal to the cost price of article B. Let the **cost price of article B** be \( C_B \).

So, the selling price of article A is ₹\( C_B \).

### Step 2: Use the profit condition on article A.

We are given that the profit on selling article A is 20%. Using the profit formula:
\[
\text{Profit} = \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \times 100
\]
Given that profit is 20%, and cost price of article A is ₹160, we substitute the values:

\[
20 = \frac{C_B - 160}{160} \times 100
\]

Solving this equation:

\[
20 = \frac{C_B - 160}{160} \times 100
\]
\[
C_B - 160 = 32
\]
\[
C_B = 192
\]

Thus, the **cost price of article B** is ₹192.

### Step 3: Find the profit on selling article B.

We are given the selling price of article B is ₹240, and the cost price of article B is ₹192. The profit can be calculated as:

\[
\text{Profit on B} = \frac{240 - 192}{192} \times 100
\]

\[
\text{Profit on B} = \frac{48}{192} \times 100 = 25\%
\]

### Final Answer:
The profit on selling article B is **25%**.

Would you like more details or have any questions?

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Here are 5 related questions:
1. How would the profit change if the cost price of article A increased by 10%?
2. What would the selling price of article A be if the profit was 30% instead of 20%?
3. If article B had a 10% discount on its selling price, what would the new profit percentage be?
4. Can we determine the loss if the selling price of article A was reduced by 10% from its current price?
5. How would the overall profit differ if both articles had the same cost price but different selling prices?

**Tip**: Always cross-check the relationship between cost price, selling price, and profit percentage for accuracy in word problems like this one.

The cost price of an article A is ₹160 and selling price of another article B is ₹240. If the selling price of A will be equal to the cost price of B, then the profit after selling article A is 20%. What is the profit on selling article B?

Learn how to calculate the profit percentage for article B when given the cost price of article A and B. This problem involves concepts of percentage, profit, and algebra. Suitable for students in Grades 9-10.

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