A supplier buys items at ₹P with a 60% markup. The retailer gets a 25% discount and sells at ₹2.8P . The customer pays ₹19,040 after a 15% discount. What is the original cost P per item?

The correct option is ₹8,000.

Step-by-Step Explanation:

Step 1: Understand the customer's purchase

Let the marked price set by the retailer be $M_r$.

The customer gets a 15% discount on the retailer's marked price and pays ₹19,040.

Selling price for the retailer = $M_r\times (1-0.15)=0.85\times M_r$

Given that the customer pays ₹19,040:

$0.85\times M_r=19040$

$M_r=\frac{19040}{0.85}=22400$

So, the retailer sells at a marked price of ₹22,400.

Step 2: Relate the retailer's marked price to P

The question states that the retailer sells at ₹2.8P (which refers to the retailer's marked price before the customer discount):

$2.8P=22400$

$P=\frac{22400}{2.8}=8000$

Conclusion:

The original cost P per item is ₹8,000.