Question

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

Answer 1

Answer:

200m

Step-by-step explanation:

FOR SHIRT MATERIAL,

Cost per metre = 50

Let the length of the cloth he buys be '3x'                      [ as for every 3 m of shirt, he buys 2m of trouser]  

So,the total cost of the cloth = 50 multiplied by  '3x' = 150x

Now,

Selling price = [(100 + Profit %) / 100] X Cost Price

SP = [(100 + 12) / 100] X 150x

SP = (112 X 150x) / 100

SP = 16800x / 100 = 168x  

FOR TROUSER MATERIAL,

Cost per metre = 90

Let the length of the cloth he buys be '2x'                  [ reason given above]

So, the total cost of the cloth = 90 multiplied by '2x' = 180x

Now,

Selling price = [(100 + Profit %) / 100] X Cost Price

SP = [(100 + 10) / 100] X 180x

SP = (110 X 180x) / 100

SP = 19800x / 100 = 198x

So,

168x + 198x = TOTAL SALE MADE BY HASAN

168x + 198x = 36,600

366x = 36,600

x = 36,600/366 = 100

Therefore, TOTAL TROUSER MATERIAL = 2x = 2 x 100 = 200m