Hasan buys two kinds o Of clothes material for school uniform shirt ma...
To solve this problem, we need to first calculate how much shirt material Hasan bought and then determine the amount of trouser material he purchased.
Let's assume the length of the shirt material purchased by Hasan is "x" meters.
Given that for every 3 meters of shirt material, he buys 2 meters of trouser material, we can set up the following equation:
2/3 = trouser material purchased/shirt material purchased
Cross multiplying, we get:
3 * trouser material purchased = 2 * shirt material purchased
Next, we need to calculate the cost of the shirt material and trouser material purchased by Hasan.
The cost of shirt material per meter is ₹50, so the total cost of the shirt material purchased is 50 * x.
The cost of trouser material per meter is ₹90, so the total cost of the trouser material purchased is 90 * (2/3) * x.
Now, let's calculate the total cost of the materials purchased by Hasan:
Total cost = cost of shirt material + cost of trouser material
Total cost = 50 * x + 90 * (2/3) * x
Total cost = 50x + 60x
Total cost = 110x
We know that Hasan sells the materials at a 12% and 10% profit respectively. So, the cost price of the materials is 100% and the selling price is 112% and 110% of the cost price.
Let's assume the total sale amount is ₹36600.
112% of the cost price = ₹36600
1.12 * cost price = ₹36600
Solving this equation, we can find the cost price:
Cost price = ₹36600 / 1.12
Now, let's substitute the value of the cost price into the equation for the total cost:
₹36600 / 1.12 = 110x
Solving for x, we can find the value of x, which represents the length of the shirt material purchased by Hasan.
Once we have the value of x, we can calculate the length of the trouser material purchased by using the equation we derived earlier:
trouser material purchased = (2/3) * x
Therefore, the amount of trouser material purchased by Hasan can be calculated using the value of x.
In this way, we can determine how much trouser material Hasan bought.
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