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16 votes
16 votes
Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him ₹ 50 per metre and trousers material that costs him ₹ 90 per metre. For every 3 metres of the shirt material, he buys 2 metres of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is ₹ 36,660. How much trouser material did he buy?​

User Mats Willemsen
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1 Answer

18 votes
18 votes

Answer:

  • 200.33 m

Explanation:

Let the amount of shirt material is s and trouser material is t.

We have equations based on given details:

  • s/t = 3/2
  • s*50*(1 + 0.12) + t*90*(1 + 0.1) = 36660

Simplify and solve for t by substitution:

  • s = 3/2t
  • 56s + 99t = 36660
  • 56*3/2t + 99t = 36660
  • 84t + 99t = 36660
  • 183t = 36660
  • t = 36660/183
  • t = 200.33 m
User Sorina
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