Question

47. The loss made by selling 10 m of a cloth equals to
the cost price of 3 m of the same cloth. Find the
loss percentage.​

Answer 1

Answer:

Loss = 30%

Step-by-step explanation:

Loss on 10m of cloth = CP of 3m of cloth

Loss = CP - SP

Loss on 10m of cloth = CP of 10m of cloth - SP of 10m of cloth

Loss on 10m = CP of 10m - SP of 10m ...........(Eqn 1)

Thus,

CP of 10m - SP of 10m = CP of 3m

SP of 10m = CP of 10m - CP of 3m

SP of 10m = CP of 7m

SP of 1m = CP of (7/10)m ..............(Eqn 2)

Let CP of 1m of cloth = x

From Eqn 2,

SP of 1m = (7/10)*x

Loss = CP - SP

        = x - (7/10)*x

        = x - 0.7x

        = 0.3x

Loss% = 100*(Loss/CP)

           = 100*(0.3x/x)

           = 100*0.3

           = 30

Loss made = 30%