Question

Question 7
Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs50 per meter and trouser material that costs him Rs90per meter. For every 2 meters of the trouser material he buys 3 meters of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs36,600 How much trouser material did he buy?

Answer 1

Let ratio between shirt material and trouser material be3x:2x. The cost ofshirt material =$50\times 3x=150x$
The selling price at .12 % gain=$\frac{100+P\%}{100}\times C.P=\frac{100+12}{100}\times 150x$
$=\frac{112}{100}\times 150x=168x$
The cost of trouser material $=90\times 2x=180x$
The selling price at 10 % gain= $\frac{100+P\%}{100}\times C.P=\frac{100+10}{100}\times 180x$
$=\frac{110}{100}\times 180x=198x$
According to the question,
$168x+198x=36,600\Rightarrow 366x=36660$
$\Rightarrow x=\frac{36600}{366}=100$ meters
Now, trouser material =$2x=2\times 100=200$ meters
Hence, Hasan bought 200 meters of the trouser material.