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?

Answer 1

Let 2x m of trouser material and 3x m of shirt materialbe bought by him.

Per metre selling price of trouser material =$Rs.90+\left(\frac{90\times 12}{100}\right)$
$=90+10.8=Rs.100.80$

Per metre selling price of shirt material $=50+\frac{50\times 10}{100}$
$=50+5=Rs.55$

Given that, total amount of selling $=Rs.36660$

$\Rightarrow 100.80\times \left(2x\right)+55\times \left(3x\right)=36660$

$201.60x+165x=36660$

$366.60x=36660$

Dividing both sides by $366.60$, we obtain

$\therefore x=100$

Trouser material =$2xm=(2\times 100)=200m$