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

☛ Check: Class 8 Maths NCERT Solutions Chapter 2

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Video Solution:

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

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.4 Question 7

Summary:

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. The trouser material that Hasan bought was 200 m.

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