Question

A piece of cloth costs rupees 200 if the PS4 find the longer and each metre of cloth posted rupees less the coast of the peaceful have remained unchanged how long is the piece and what's the original rate of the per metre cloth​

Answer 1

Answer:

Let the piece of cloth is x metre and it costs Rs.y/metre. Then by the given conditions -

∴, xy=200 -------------(1) and

(x+5)(y-2)=200

or, xy+5y-2x-10=200

or, 200+5y-2x-10=200

or, 5y-2x-10=0

or, 5y=2x+10

or, y=(2x+10)/5

Putting in (1),

x(2x+10)/5=200

or, x(2x+10)=200×5

or, 2x²+10x=1000

or, x²+5x-500=0

or, x²+25x-20x-500=0

or, x(x+25)-20(x+25)=0

or, (x+25)(x-20)=0

either, x+25=0

or, x=-25

or, x-20=0

or, x=20

Since the length of the cloth can not be negative,

∴, x=20 metre

Putting in (1),

20y=200

or, y=10

∴, the cloth is 20 m long and the original rate is Rs. 10/metre. Ans.

Answer 2

Answer:

Refers to the attachment