Hasan buys two kinds of cloth material for school uniforms shirt material that cost him rupees 50 per metre and treasure material that cost him rupees 90 per metre for every 3 metres of the shirt material he buys 2 metres of the treasure material is sells the materials at 12% and 10% profit respectively his total sale is 36,600 how much treasure material did he buy?
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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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