A shopkeeper, after giving a 20%

We are asked to find the cost price (CP) of an article with marked price (MP) ₹880, when a 20% discount is given but the shopkeeper still makes 10% profit.

Step 1: Find the selling price (SP)

Discount = 20% of MP, so SP = 80% of MP:

$ \text{SP} = 0.8 \times 880 = 704 $

Step 2: Use profit formula to find CP

Profit = 10%, so:

$ \text{SP} = \text{CP} \times 1.10 $

$ 704 = \text{CP} \times 1.10 $

$ \text{CP} = \frac{704}{1.10} = 640 $

Answer: ₹640