Question

Hasan buys two kinds of cloth material for school uniforms, shirt material that costs hom Rs $50$ per metre and trouser material that costs him Rs $90$ per metre.for every $3$ meters of shirt material he buys $2$ meters of the trouser material . he sells the material at $12\%$ and $10\%$ profit respectively. his total sale is Rs $36,600$. how much trouser material did he buy ?

Answer 1

Cost of $1$m shirt material$=$Rs.$50$

Cost of $1$m trouser material$=$Rs.$90$

Let the length of shirt material be $2x$ and the length of trouser material be $3x$

$\Rightarrow$ S.P of $1$m of trouser material$=$Rs.$90\times 2x+\frac{12}{100}\times 90\times 2x=$Rs.$180x+\frac{108x}{5}$

$\Rightarrow$ S.P of $1$m of shirt material$=$Rs.$50\times 3x+\frac{10}{100}\times 50\times 3x=$Rs.$150x+15x$

Total sale$=$rs.$36600$

thus, we have

$180x+\frac{108x}{5}+150x+15x=36600$

$\Rightarrow 345x+\frac{108x}{5}=36600$

$\Rightarrow 1725x+108x=36600\times 5$

$\Rightarrow 1833x=183000$

$\Rightarrow x=\frac{183000}{1833}=99.83$

$\therefore$ Trouser material$=2x=2\times 99.83=199.66$m