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cost of shirt material per unit length=50 rs/m
cost of trouser material per unit length=90 rs/m
For every 2 meters of the trouser material, he buys 3 meters of the shirt material.
ie ratio of shirt to trouser material=3:2
profit of shirt material = 12%
profit of trouser material=10%
total sale =36660
since shirt and trouser length he bought are in the ratio 3:2,
length of shirt material he bought=3k
length of trouser material he bought=2k
cost of shirt material=3k*50=150k
cost of trouser material=2k*90=180k
where k is an integer constant.
selling price=cost price(1+profit/100)
selling price of shirt material=150k*(1+12/100)=150k*(1+0.12)=150*1.12*k=168k
selling price of trouser material=180k*(1+10/100)=180k*(1+0.1)=180*1.1*k=198k
total selling price=168k+198k=366k
366k=36660
k=36660/366~100
trouser material he bought=2k=200 m
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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 36660
100.80 × (2x) + 55 × (3x) = 36660
201.60x + 165x = 36660
366.60x = 36660
Dividing both sides by 366.60, we obtain
x = 100
Trouser material = 2x m = (2 × 100) m = 200 m
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