Hasan 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 shirt material he buys 2 meters of trouser material. He sells the material at 12% and 10% profit respectively. His total sale is Rs 36600 . How much trouser material did he buy?
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Let us assume that Hasan bought x meters of trouser material
so the shirt material Hasan bought is 3/2x = 1.5x
Cost of the trouser material is 90x and cost of shirt material is 50*1.5 x = 75x
He sells shirt material at a profit of 12%. So sales price is (12+100)*75x/100 = 84x
He sells trouser material for a profit of 10% so sales price is (10+100)*90x/100 = 99x
Now total sale is 36,600
99x + 84x = 36,600
183x = 36600
x = 200
He bought 200 m of trouser material
so the shirt material Hasan bought is 3/2x = 1.5x
Cost of the trouser material is 90x and cost of shirt material is 50*1.5 x = 75x
He sells shirt material at a profit of 12%. So sales price is (12+100)*75x/100 = 84x
He sells trouser material for a profit of 10% so sales price is (10+100)*90x/100 = 99x
Now total sale is 36,600
99x + 84x = 36,600
183x = 36600
x = 200
He bought 200 m of trouser material
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