Question

Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs.50 per meter and trouser material that costs him Rs.90 per metre. For every 3 metres of shirt material he buys 2 metres of trouser material. He sells the material at 12% and 10% profit respectively. His total sale is Rs.36,600.
(b) How much trouser material does he buy?​

Answer 1

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(150×100112)=Rs168x

Also, profit in case of trouser material = 10%

∴ Its S.P. =Rs(180×100110)=198x

∴ Total selling price =Rs.(168x+198x)

                                   =Rs.366x

But the total selling price is given as Rs. 36600.

∴366x=36600⇒x=366636660=100

Thus, the trouser material purchased

=2×100m

=200m