Question

Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs 100 per metre and trouser material that costs him Rs 80 per metre. For every 2 metres of the trouser material, he buys 4 metres of the shirt material. He sells the shirt material at 14% profit and trouser material at 4% profit. His total sale is Rs 40000 .How much trouser material did 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×

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