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Hasan buys two kinds of cloth materials for school uniform,shirt material t

Hasan buys two kinds of cloth materials for school uniform,shirt material that cost him at the rate of 50 per meter and trouser material that cost him at the rate of 90 per meter.For every 3meters of the shirt material he buys 2meters of the trouser material.He sales the materials at 12% and 10% profit respectively.His total sale is at the rate of 36600.How much trouser material did he buy?

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A)
Let the length of shirt material purchased be 3x metres and trouser material purchased be 2x metres.
 
Cost of 1 metre trouser material = ₹90
 
Cost of 1 metre shirt material = ₹50
 
(50*112/100)3x +(90*100/100) 2x = 36,600
 
(560/10)3x +99/10*2x = 36,600
 
168x +198x = 36,600
 
366x = 36,600
 
x = 36,600/366
 
x = 100 metres
 
Shirt material = 3x*100=300metres
 
Trouser material = 2x*100=200metres
 
 
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