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.
(a) How much shirt material does 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 x 2x) = Rs180x and
Cost price of 3x metres of shirt material at Rs. 50
per metre = Rs(50 x 3x) = Rs150x
Given, profit in case of shirt material = 12%
(150 × 100, ...Its S.P. = Rs 150 x 112 = Rs168x
Also, profit in case of trouser material = 10%
ts (180 x 100)
...Its S.P. = Rs 180 x
..Total selling price = Rs. (168x + 198x) = Rs.366x
But the total selling price is given as Rs. 36600.
36660
3666
... 366x = 36600⇒x=
= 100
Thus, the trouser material purchased
= 2 x 100m
= 198x
D 200 m
= 200m
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