7. Hasan buys two kinds of cloth materials for school uniforms, shirt material that
costs him 50 per metre and trouser material that costs him 3 90
per metre.
For every 3 meters of the shirt material he buys 2 meters of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is 36,000. How much trouser material did he buy?
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Answer:
200 meters
Step-by-step explanation:
Let the total cloth material for shirt = 3x m
Let the total cloth material for trousers = 2x m
Amount of total shirt material=3x×50=150 rupees
Amount of total trouser material=2x×90=180 rupees
______________________________________
S.P for shirt material= P% = 12%
S.P = (100 + 12/ 100) x C.P
S.P = (100 + 12/ 100) x 150x
S.P = 168x rupees
S.P for trouser material= P%= 10%
S.P = (100 + 10/ 100) x C.P
S.P = (100 + 10/ 100) x 180x
S.P = 198x rupees
______________________________________
So, 168x + 198x = 36600
366x = 36600
x = 100
______________________________________
So, the trouser material= 2x = 2 x 100 = 200 m
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