Question

Hasan buys $2$ kinds of cloth material for school uniform, shirt material that costs him $Rs.50$ per metre and trouser material that costs him $90$ per metre. For every $2$ metres of trouser material he buys $3$ metres of shirt material. He sells the material at $12$% and $10$% profit respectively. His total sale is $Rs.36660$. How much trouser material did he buy?

Answer 1

Let $2m$ of trouser material and $3m$ of shirt material be bought by Hasan.

$\therefore$ Selling price of trouser material/ metre
$=Rs.90+\frac{90\times 12}{100}$
$=90+10.8$
$=Rs.100.80$

Selling price of shirt material per metre

$=Rs.(50+\frac{50\times 10}{100})=50+5$
$=Rs.55$

$\therefore$ Total amount of selling $=36660$
$100.8\times 2x+55\times 3x=36660$
$366.60x=36660$
$x=100$

Trouser material $=2x=2\times 100m$
$=200m$