Question

Hasan buys two kinds of cloth materials for school uniforms, shirt material that

costs him ₹50 per metre and trouser material that costs him ₹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?​

Answer 1

Answer:

Correct option is

D

200 m

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