Chetan buys two kinds of cloth materials for school uniforms. Shirt material that costs him Rs. 50 per meter and trouser material that costs him Rs. 100 per meter each. For every 4 meters of shirt material, he buys 3 meters of trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs.55400. How much trouser material did he buy?
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Answer:
He will buy 57 m material for trouser.
Step-by-step explanation:
Cost of 1 m shirt material = Rs. 50 and cost of 1 m trouser material = Rs. 100
Assume that the length of shirt be 4x and trouser be 3x.
Now,
S.P. of one shirt material = 50 × 4x + 12/100 × 50 × 4x
= 200x + 12/100 × 200x
= 200x + 2400x
= 2600x
S.P. of one trouser material = 100 × 3x + 10/100 × 100 × 3x
= 300x + 1/10 × 300x
= 300x + 30x
= 330x
As per given condition,
→ 2600x + 330x = 55400
→ 2930x = 55400
→ x = 18.9 ~ 19
Hence,
- shirt = 4x = 19(4) = 76 m
- trouser = 3x = 19(3) = 57 m
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