Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs 50 per metre and trouser material that costs him Rs 90 per metre. For every 2 meters of the trouser material he buys 3 metres of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs 36,660. How much trouser material did he buy?

Explanation

To solve the problem step by step, we will first define the variables and then set up the equations based on the information given in the question.

### Step 1: Define Variables
Let:
- \( x \) = the amount of trouser material (in meters) that Hasan buys.

### Step 2: Determine Shirt Material
According to the problem, for every 2 meters of trouser material, Hasan buys 3 meters of shirt material. Therefore, if Hasan buys \( x \) meters of trouser material, the amount of shirt material he buys will be:
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