from a handpicked tutor in LIVE 1-to-1 classes

# 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

**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.

**☛ Related Questions:**

- Amina thinks of a number and subtracts 5/2 from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?
- A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?
- Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?
- One of the two digits of a two-digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?

visual curriculum