Hasan buys two kinds of cloth materials for school uniforms, shirt material that
costs him ₹50 per metre and trouser material that costs him ₹90 per metre. For every 3
meters 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 ₹36,600. How much
trouser material did he buy?
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Step-by-step explanation:
Let 2x m of trouser material and 3x m of shirt material be bought by him
Selling price of shirt material per meter = ₹ 50 + 50 ×(12/100) = ₹ 56
Selling price of trouser material per meter = ₹ 90 + 90 × (10/100) = ₹ 99
Total amount of sale = ₹36,600
According to the question,
(2x × 99) + (3x × 56) = 36600
⇒ 198x + 168x = 36600
⇒ 366x = 36600
⇒ x = 36600/366
⇒ x = 100
Total trouser material he bought = 2x = 2 × 100 = 200 m.
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