Book: NCERT - Mathematics

Chapter: 2. Linear Equations in One Variable

Subject: Maths - Class 8th

Q. No. 7 of Exercises 2.4

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Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs 50 per metre and trouser material that costs him Rs 90 per metre.For every 2 meters of the trouser material he buys 3 metres of the shirt material.He sells the materials at 12% and 10% profit respectively. His total sale is Rs 36,660. How much trouser material did he buy?

Let Hasan buys 2x m of cloth for trouser and 3x m of cloth for shirts.

Now, he gets 12% profit on cloth for trouser. Thus, we find out the selling price for 1 m of trouser cloth.

1 m of trouser cloth = Rs 90 (His cost price) + 12% of Rs 90(his profit)

1 m of trouser cloth = Rs 90 + Rs = Rs 100.80

Similarly, 1 m of shirt cloth = Rs 50 (His cost price) + 10% of Rs 50(his profit)

1 m of trouser cloth = Rs 50 + Rs = Rs 55

Given: The total sale is Rs 36,660

Therefore, the trouser material = 2x = 2(100) = 200m

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