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?
Let 2x m of trouser material and 3x m of shirt material be bought by him
Selling price of shirt material per meter = Rs 50 + 50 ×(12/100)
= Rs 56
Selling price of trouser material per meter = Rs 90 + 90 × (10/100)
= Rs 99
Total amount of sale = Rs 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.