# Q.7 Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him ₹50 per meter and trouser material that costs him ₹90 per meter. For every 3 meters of the shirt material, he buys 2 meters of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is ₹36,600. How much trouser material did he buy?

Let the total shirt material that Hasan bought be x metre.

and the total trouser material be y metre.

As per the question,

Thus trouser material

Now we will make another equaion by using cost of the materials.

Profit for shirt is 12% i.e., selling price of shirt is

and selling price for trouser is

Hence equation becomes:

or                       56x + 66x = 36600

or                            122x = 36600

Dividing both sides by 122:

x = 300

Thus trouser material that Hasan bought was = 200 meter

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