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 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 Rs. 36,600. How much trouser material did he buy?

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300 m

200 m

500 m

100 m

answer is B.

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Detailed Solution

Let the ratio between the shirt material and the trouser material= 3:2
Then, the shirt material bought

The trouser material bought

Therefore, the cost of the shirt material,

= 50 × 3 x = Rs . 150 x

The cost of trouser material

= 90 × 2 x = Rs . 180 x

Selling price of shirt material at 12% profit is,

= 100 + P 100 × cost price

= 100 + 12 100 × 150 x

= 112100 × 150 x

= 168 x

Selling price of trouser material at 10% profit,

= 100 + P 100 × cost price

= 100 + 10 100 × 180 x

= 110100 × 180 x

= 198 x

Now, Selling price of shirt material + Selling price of trouser material= Total sale amount.

⇒ 168 x + 198 x = 36600 ⇒ 366 x = 36600 ⇒ x = 36600366 ⇒ x = 100 m

The length of the trouser material bought is

= 2 × 100

=200 m.
Hence, the length of the trouser material bought is 200 m.
Correct option is 2.

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