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 $3$ 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 $Rs.36,600$. How much trouser material did he buy?

• A. $200$
• B. $75$
• C. $47$
• D. $115$

Answer 1

The correct option is A $200$

CP of shirt $=$ Rs. $50$

SP of shirt at 12 percent profit $=$ Rs. $56$

CP of pant $=$ Rs. $90$

SP of pant at $10\%$ profit $=$ Rs. $99$

Let the amount of shirt material sold be $3x$ and pant material be $2x$.

So, $3x\left(56\right)+2x\left(99\right)=36600$

$\Rightarrow 168x+198x=36600$

$\Rightarrow 366x=36600$

$\Rightarrow x=100$

Amount of trouser material $=2x=200$ mts.