The marked price of a wedding dress is 2.5 times its cost price. A discount of 20% is offered on the marked price, and the shopkeeper

Question:
The marked price of a wedding dress is 2.5 times its cost price. A discount of 20% is offered on the marked price, and the shopkeeper still makes a profit of ₹2,400. Find the cost price of the wedding dress.

Solution:

1. Let the cost price (CP) of the wedding dress be ₹x.
   The marked price (MP) is 2.5 times the cost price:

   $$MP=2.5x$$

2. After a 20% discount, the selling price (SP) is:

   $$SP=MP-(20\%\text{ of }MP)SP=MP\times (1-0.2)SP=0.8\times MPSP=0.8\times 2.5x=2x$$

3. Given that the shopkeeper makes a profit of ₹2,400:
   Profit is the difference between the selling price and cost price:

   $$SP=CP+\text{Profit}2x=x+2400$$

4. Solve for $x$:

   $$x=2400$$

Answer:
The cost price of the wedding dress is ₹2,400.