A shopkeeper buys shirts from a producer and sells them at 20% profit. A customer has to pay Rs. 3,186.00 including 18% taxes, per shirt. At what price did the shopkeeper buy each shirt from the producer ?

The correct option is Rs. 2,250.00.

To find the price at which the shopkeeper bought each shirt from the producer, we can break down the problem into two main steps:

Step 1: Find the selling price of the shirt before tax
Let the selling price (SP) of the shirt before tax be S.
The customer paid Rs. 3,186.00, which includes a 18% tax on the selling price S.
Therefore, the total price paid by the customer is:
$S+(18\%\text{ of }S)=3186$

We can write this as:
$S\times (1+0.18)=3186$
$1.18\times S=3186$

Solving for S:
$S=\frac{3186}{1.18}$
$S=2700$

So, the selling price of the shirt before tax is Rs. 2,700.00.

Step 2: Find the cost price for the shopkeeper
Let the cost price (CP) at which the shopkeeper bought the shirt from the producer be C.
The shopkeeper sells the shirt at a 20% profit. This means:
$S=C+(20\%\text{ of }C)$

Substitute S = 2700 into the equation:
$2700=C\times (1+0.20)$
$2700=1.20\times C$

Solving for C:
$C=\frac{2700}{1.20}$
$C=2250$

Thus, the shopkeeper bought each shirt from the producer at Rs. 2,250.00.