rahul buys two kind of cloth materials for school uniform, shirt material that costs him ₹50 per meter and trouser material that costs him ₹90 per meter. for every 3 meters of the shirt material he buys 2 meters of the trouser material. he sells the material at 12% and 10% profit respectively. his total sales ₹1098 . how much trouser 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
hope it helps u
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