Hasan buys two kind of cloth materials for school uniforms shirt material that cost him rupees 50 per metre and trouser material that cost him rupees 90 per metre for every 3 metres of the short material he buys to metre of trouser material he sells the materials at 12% and 10% profit respectively his total sale sale is 36600 how much trouser material did he buy
Answers
Assign a variable to the amount of trouser material, since that's what you're trying to figure out. Call it x.
So you know that the amount of shirt material he bought is 3/2 x or 1.5 x.
The shirt material costs RS 50 per meter, and he sells it at a profit of 12%. That means that his profit per meter is 12% of 50, which is 6. So the sales price associated with each meter of shirt material is 56.
The trouser material costs RS 90 per meter, and he sells it at a profit of 10%. That means that his profit per meter is 10% of 90, which is 9. So the sales price associated with each meter of shirt material is 99.
So he bought 1.5 x meters of shirt material and sold it at RS 56 per meter. So his total sales of shirt material is 1.5 x * 56 = 84 x.
And he bought x meters of trouser material and sold it at RS 99 per meter. So his total sales of trouser material is x * 99 = 99x.
So his total sales are 84x + 99x = 183x. And we know that his total sales are RS 36,600. So let 183x equal to 36600 and solve:
183x = 36600.
x = 200
Since we defined x to be the amount of trouser material, then that is the answer!
Notice that we never needed to know how much of each material was in each item, or how many items he sold. The problem could be worked out just by looking at the amount material itself.
I hope this will help you. mark as Brainliest.
Answer:
200 m
Step-by-step explanation:
- Shirt = 3
- Trouser = 2
- Shirt = 3/2 * x
- Trouser = 2/2 * x
Cost of shirt material = 50
Cost of trouser material = 90
Cost of shirt material for 3x/2 = 50 * 3x/2 = 75
Cost of trouser material for x = 90 * x = 90x
Profit of 10% (Trousers) = 10% of 90x = 10/100 * 90x = 9x
Profit of 10% (Trousers) = 12% of 75x = 12/100 * 75x = 9x
SP of trousers = 90x + 9x =99x
SP of trousers = 75x + 9x =84x
99x + 84x = 36600
183x = 36600
x = 36600/183 = 200 m