A buys an article for Rs. 650 and sells it to B at a profit of 20%. B sells it to Cat a loss of 20%. What does C pay for it?

Answer

To solve the problem step by step, we will follow the transactions between A, B, and C.

### Step 1: Calculate the Selling Price of A to B
A buys an article for Rs. 650 and sells it to B at a profit of 20%.

**Formula for Selling Price (SP) with Profit:**
\[ SP = CP \times \left(1 + \frac{Profit\%}{100}\right) \]

Where:
- \(CP\) = Cost Price
- \(Profit\%\) = Profit Percentage

**Substituting the values:**
\[ SP = 650 \times \left(1 + \frac{20}{100}\right) \]
\[ SP = 650 \times \left(1 + 0.20\right) \]
\[ SP = 650 \times 1.20 \]
\[ SP = 780 \]

So, A sells the article to B for Rs. 780.

### Step 2: Calculate the Selling Price of B to C
B sells the article to C at a loss of 20%.

**Formula for Selling Price (SP) with Loss:**
\[ SP = CP \times \left(1 - \frac{Loss\%}{100}\right) \]

Where:
- \(CP\) = Cost Price for B (which is Rs. 780)
- \(Loss\%\) = Loss Percentage

**Substituting the values:**
\[ SP = 780 \times \left(1 - \frac{20}{100}\right) \]
\[ SP = 780 \times \left(1 - 0.20\right) \]
\[ SP = 780 \times 0.80 \]
\[ SP = 624 \]

So, C pays Rs. 624 for the article.

### Final Answer:
C pays Rs. 624 for the article.

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