Question

The selling price of 10 pencils is equal to the cost price of 12 pencils the gain percent iis

Answer 1

sp of 10 pencils=cp of 11 pencil=x
so cp of one pencil=x/11
and sp of one pencil is =x/10
profit=sp-cp=x/10-x/11
                     =x/110
profit %=profit*100/cp
              =x*100*11/120*x=
so profit percentage=20%

Answer 2

Define x:

Let the cost price of 1 pencil = x

Find the selling price of 1 pencil:

Selling Price of 10 pencils = Cost of 12 pencils

Selling Price of 10 pencils = 12x

Selling Price of 1 pencil = 12x ÷ 10 = 1.2x

Find the gain:

Gain = 1.2x - x = 0.2x

Find the gain percentage:

Gain percentage = gain/cost price x 100

Gain percentage = (0.2x/x) x 100 = 20%

Answer: The profit is 20%