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in Mathematics by (106k points)

Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs50 per meter and trouser material that costs him Rs90per meter. For every 2 meters of the trouser material he buys 3 meters of the shirt material. He sells the materials at 12% and 10% respectively. His total sale is Rs36, 660. How much trouser material did he buy?

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Solution:

Let Hasan bought 2x m of trouser material and 3x m of the shirt material.

Per metre selling price(S.P) of the trouser material = ₹90+90×12/100

= 90 + 1.2× 9

= 90 + 10.8

=₹100.80

Per metre selling price(S.P) of trouser of shirt material

= ₹50+ 50× 10/100

= ₹ 50 + 5

=₹55

Given: total amount of sale= ₹ 36660

100.80 x (2x) + 55 x (3x) = ₹36660

201.60 x + 165x = 36660

366.60 x  = 36660

X= 36660/366.60

x = 100

Trouser material = 2x m = (2×100)m = 200m.

Hasan bought 200 m of trouser material.

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