Question

Q.7 . 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 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 ₹36,660 . How much trouser material did he buy ?

Answer 1

Question :-

• 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 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 ₹36,660 . How much trouser material did he buy ?

Solution :-

Hasan buys shirt and trouser in ratio 2:3.

• Let the ratio be x.
• He buys 2x m trouser & 3x m shirt material.

The cost of the shirt material :-

• ₹3x × 50 = ₹150x

The cost of the trouser material :-

• ₹2x × 90 = ₹180x

The selling price of the shirt material :-

• ₹150x + 12% of ₹150x
• $\implies rs\quad\bigg\lgroup\bf 150x + \: \frac{12}{100} \: \times \: 150x \bigg\rgroup$
• $\implies \: rs \: (150x \: + \: 18x) = rs \: 168x$

The selling price of the trouser material :-

• ₹180x + 10% of ₹ 180x
• $\implies rs\bigg\lgroup\bf 180x \: + \: \frac{10}{100} \: \times \: 180x \bigg\rgroup$
• $\implies \: rs \: (180 x \: + \: 18x) = rs198x$

According to the Question :-

• 168x + 198x = 36,660
• 366x = 36,660
• $x \: = \frac{36,660}{366}$
• 100.16 (approx)
• 100 (approx)

the trouser material bought by him = 2 × 100m = 200m

Answer 2

• 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 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 ₹36,660 . How much trouser material did he buy ?