Answer:
Let shirt material be 3x and trouser material be 2x metres. The cost of shirt material \[=\text{ }50\times 3x=150x\] The selling price at 12% profit \[=\text{ }\frac{100+12}{100}\text{ }\times 150\,x\] \[=\frac{112}{100}\times 150x\] = 168 x The cost of trouser. Material \[=90\times 2x=180x\] The selling price at 10% profit \[=\frac{100+10}{100}\times 180x\] \[=\frac{110}{100}\times 180x=198x\] According to question, 168x + 198x = 36,600 or, 366x = 36,600 or, \[x=\frac{36600}{366}\] or, x = 100 \[\therefore \] Trouser material \[=2\times 100=200\text{ }m\] Hence, Hasan bought 200 m trouser material.
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