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 meter. For every 3 meters of the shirt material, he buys 2 meter of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs. 36,000. How much trouser material did he buy?
(answer with statements)
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 CP
100
100+P%
×CP
= \frac{100+12}{100}\times150x
100
100+12
×150x
= \frac{112}{100}\times150x=168x
100
112
×150x=168x
The cost of trouser material =
90\times2x=180x90×2x=180x
The selling price at 12% gain = \frac{100+P\%}{100}\times CP
100
100+P%
×CP
= \frac{100+10}{100}\times180x
100
100+10
×180x
= \frac{110}{100}\times180x=198x
100
110
×180x=198x
According to the question,
168x+198x=36,600168x+198x=36,600
\Rightarrow366x=36600⇒366x=36600
\Rightarrow x=\frac{36600}{366}=100⇒x=
366
36600
=100 meters.
Now, trouser material = 2x=2\times1002x=2×100
= 200 meters
Hence, Hasan bought 200 meters of the trouser material.
Step-by-step explanation: