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Question
Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs 50 per metre and trouser material that costs him Rs 90 per metre. For every 2 meters of the trouser material he buys 3 metres of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs 36660. How much trouser material did he buy?
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Solution
Let 2x m of trouser material and 3x m of shirt material be bought by him.
Per metre selling price of trouser material = Rs `(90 + (90 xx 12)/100)` = Rs 100.80
Per metre selling price of shirt material = Rs `(50 + (50 xx 10)/100)` = Rs 55
Given that, total amount of selling = Rs 36660
100.80 × (2x) + 55 × (3x) = 36660
201.60x + 165x = 36660
366.60x = 36660
Dividing both sides by 366.60, we obtain
x = 100
Trouser material = 2x m = (2 × 100) m = 200 m
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