# 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 36,600. How much trouser material did he buy?

Cost of 1 m shirt material = Rs. 50

Cost of 1 m trouser material = Rs. 90

Now after 12% Profit, Selling Price of 1 m shirt material = 50 + 12% of 50  = 50 + 6

=  Rs. 56

And after 10% Profit, Selling Price of 1 m shirt material = 90 + 10% of 90 = 90 + 9

= Rs. 99

It is given that if he buys 2 m of shirt material then he buys 3 m of shirt material.

Let that he buys 2x m of shirt material then he will buy 3x m of trouser material.

Total Selling Price = 56 x 3x + 99 x 2x = 168x + 198x = Rs. 366x

It is given that the total selling price = 36600

Therefore,

366 x = 36600

x = 100

So the trouser material he buys = 2x

= 2 x 100

= 200 m
Therefore, the trouser material is 200 m.

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