Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him 50 per metre and trouser material that costs himn 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 36,600. How much trouser material did he buy?
Answers & Comments
Answer:
200m
Step-by-step explanation:
Let material bought for trousers and shirts be 2x meters and 3x meters respectively.
Cost price of 2x metres of trouser material at Rs. 90 per metre =Rs(90×2x)=Rs180x and
Cost price of 3x metres of shirt material at Rs. 50 per metre =Rs(50×3x)=Rs150x
Given, profit in case of shirt material = 12%
∴ Its S.P. =Rs(150×
100
112
)=Rs168x
Also, profit in case of trouser material = 10%
∴ Its S.P. =Rs(180×
100
110
)=198x
∴ Total selling price =Rs.(168x+198x)
=Rs.366x
But the total selling price is given as Rs. 36600.
∴366x=36600⇒x=
3666
36660
=100
Thus, the trouser material purchased
=2×100m
=200m