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 metres of the shirt material he 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?
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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?
Solution:
According to the question, Trouser material and shirt material are purchased in the ratio of 2:3 by Hasan.
Let 2x m of trouser material and 3x m of shirt material be purchased by him.
Given that,
Cost price of the shirt per metre = ₹50 and Profit % = 12%
Cost price of the trouser per metre = ₹90 and Profit % = 10%
We know that,
Selling price = Cost Price + Profit
where, Profit = Profit% × Cost Price
Thus, per metre selling price of trouser material
= ₹ [90 + (90 × 10/100)]
= ₹99
Per metre selling price of shirt material
= ₹ [50 + (50 × 12/100)]
= ₹56
Since the total sales made is ₹36,660, we get
Total selling price of trousers + Total selling price of shirt = 36660
99 × (2x) + 56 × (3x) = 36660 [Since the number of trousers and shirts are 2x and 3x respectively]
198x + 168x = 36660
366x = 36660
x = 100 (approx.)
Thus, trouser material = 2x m
= (2 × 100) m
= 200 m
Therefore, the trouser material that Hasan bought was 200 m
Step-by-step explanation:
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