Hasan buys two kinds of cloth material for school


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"Question 7 Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs 50 per metre and trouser material that costs him Rs 90 per metre. For every 2 meters of the trouser material he buys 3 metres of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs 36660. How much trouser material did he buy?

Linear Equations in One Variable Page 31"

Answered by admin @



Equations with linear expressions in one variable only are
known as linear equations in one variable.


 


An algebraic equation is an equality involving variables. It
has an equality sign(=). The expression on the left of the equality sign is the
Left Hand Side (LHS). The expression on the right of the equality sign is the
Right Hand Side (RHS).

==========================================================


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.

=========================================================

Hope this will help you....


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