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 answer is Rs.4000.

Step 1: Define the variable for Production Cost
Let the original production cost of the computer be $C$.

Step 2: Calculate the Listed Price
The retailer sets the listed price 80% higher than the production cost.
$\text{Listed Price}=C+0.80C=1.80C$

Step 3: Calculate the Distributor's Buying Price
The distributor buys the computer at a 50% discount (markdown) on the listed price.
$\text{Distributor Cost}=1.80C\times (1-0.50)$
$\text{Distributor Cost}=1.80C\times 0.50=0.90C$

Step 4: Calculate the Retail Customer's Buying Price
The distributor resells the computer to a retail customer at a 25% margin over their purchase cost.
$\text{Customer Price}=\text{Distributor Cost}\times (1+0.25)$
$\text{Customer Price}=0.90C\times 1.25=1.125C$

Step 5: Solve for the Production Cost ($C$)
We are given that the customer bought the computer for Rs. 4500.
$1.125C=4500$
$C=\frac{4500}{1.125}$
$C=4000$

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