hasnen buys two kinds of cloth material for school uniforms, shirt material that costs him Rs50 per meter and trouser material that costs him Rs90 per metre. For every 3 metres of the shirt material he buys 2 metres of the trouser material. he sells the materials at 12% and 10% profit respectively. his total sales is 36600. how much trouser material did he buy?
Answers
Answer:
Let ratio between shirt material and trouser material be 3x:2x3x:2x.
The cost of shirt material = 50\times3x=150x50×3x=150x
The selling price at 12% gain = \frac{100+P\%}{100}\times CP100100+P%×CP
= \frac{100+12}{100}\times150x100100+12×150x
= \frac{112}{100}\times150x=168x100112×150x=168x
The cost of trouser material =
90\times2x=180x90×2x=180x
The selling price at 12% gain = \frac{100+P\%}{100}\times CP100100+P%×CP
= \frac{100+10}{100}\times180x100100+10×180x
= \frac{110}{100}\times180x=198x100110×180x=198x
According to the question,
168x+198x=36,600168x+198x=36,600
\Rightarrow366x=36600⇒366x=36600
\Rightarrow x=\frac{36600}{366}=100⇒x=36636600=100 meters.
Now, trouser material = 2x=2\times1002x=2×100
= 200 meters
Hence, Hasan bought 200 meters of the trouser material.
Answer:
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 meterts of shirt material he buys 2 meters of the trouser material . he sells the material at 12% and 10% profit respectively.
Step-by-step explanation: