A retailer sets the listed price of a computer 80% higher than its production cost. A distributor buys the computer at a 50% markdown on the listed price and subsequently resells it to a retail customer at a 25% margin. If the customer bought the computer for Rs. 4500, calculate the original production cost of the computer.

The correct option is Rs.4000.

Step 1: Express the listed price in terms of the production cost.

Let the original production cost of the computer be $C$.

The retailer sets the listed price 80% higher than the production cost:

$\text{Listed Price}=C+0.80C=1.80C$

Step 2: Calculate the price paid by the distributor.

The distributor buys the computer at a 50% markdown on the listed price:

$\text{Distributor's Cost}=1.80C\times (1-0.50)=1.80C\times 0.50=0.90C$

Step 3: Calculate the selling price to the customer.

The distributor resells the computer to a retail customer at a 25% margin (markup on cost):

$\text{Selling Price}=0.90C\times (1+0.25)=0.90C\times 1.25=1.125C$

Step 4: Solve for the production cost.

Given that the customer bought the computer for Rs. 4500:

$1.125C=4500$

$C=\frac{4500}{1.125}=4000$

Therefore, the original production cost of the computer is Rs. 4000.