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Hassan buys two kinds of cloth materials for school uniforms, shirt material that costs him rs 50 per meter and trouser material that costs him rs 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 rs 36,600. how much trouser material did he buy? please explain the answer.

Let 2x m of trouser material and 3x m of shirt material be bought by him.

Per metre selling price of trouser material = = Rs 100.80

Per metre selling price of shirt material = = Rs 55

Given that, total amount of selling = Rs 36600

100.80 × (2x) + 55 × (3x) = 36600

201.60x + 165x = 36600

366.60x = 36600

Dividing both sides by 366.60, we obtain

x = 99.83 which is nearly equal to 100

So , trouser material = 2x m = (2 × 100) m = 200 m


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