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 metres of the trouser material, he buys 3 metres of the shirt material. He sells the shirt material at 12% profit and trouser material at 10% profit. His total sale is Rs 36,600. How much trouser material did he buy?

• A. 70m
• B. 150m
• C. 120m
• D. 200m

To find out how much trouser material Hasan bought, we first need to set up the relationship between the shirt and trouser materials he purchased.

Material Purchase Ratio

Hasan buys shirt material and trouser material in the ratio of 3:2. This means for every 3 metres of shirt material, he buys 2 metres of trouser material.

Cost Calculation

The costs for the materials are as follows:

• Shirt material: Rs 50 per metre
• Trouser material: Rs 90 per metre

Profit Calculation

He sells the shirt material at a 12% profit and the trouser material at a 10% profit. Therefore, the selling prices are:

• Selling price of shirt material = Rs 50 + (12% of Rs 50) = Rs 56
• Selling price of trouser material = Rs 90 + (10% of Rs 90) = Rs 99

Setting Up the Equation

Let the quantity of trouser material purchased be 2x metres. Then, the quantity of shirt material purchased will be 3x metres.

The total cost for the materials is:

• Cost of shirt material = 3x * 50 = 150x
• Cost of trouser material = 2x * 90 = 180x

Total cost = 150x + 180x = 330x

Total Sales Calculation

The total sales from the materials are:

• Sales from shirt material = 3x * 56 = 168x
• Sales from trouser material = 2x * 99 = 198x

Total sales = 168x + 198x = 366x

Final Equation

According to the problem, the total sales amount to Rs 36,600:

366x = 36,600

Solving for x gives:

x = 36,600 / 366 = 100

Calculating Trouser Material

Since the amount of trouser material is 2x, we find:

Trouser material = 2 * 100 = 200 metres.

Final Answer

Hasan bought 200 metres of trouser material. The correct option is D. 200m.