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?
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Answer:
200 meters
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
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