Question

if the cost price of 8pens is same as the selling price of 6pens then the gain percentage os

Answer 1

Answer:

33.3%

Step-by-step explanation:

Define x:

Let the cost price of 1 pen be x

Find the cost of 8 pens:

1 pen = x

8 pens = 8x

Find the selling price of 1 pen:

Selling price of 6 pens = cost of 8 pens

Selling price of 6 pens = 8x

Selling price of 1 pen = 8x ÷ 6 = 4/3 x

Find the gain:

Gain = 4/3 x - x = 1/3 x

Find the gain percentage:

Gain percentage = Gain / Cost Price x 100

Gain percentage = (1/3 x ÷ x ) x 100  

Gain Percentage = 33.3%

Answer: 33.3%

Answer 2

Answer: the gain percentage is 33.33%

Step-by-step explanation:

Given that,

the cost price of 8 pens is same as the selling price of 6 pens.

Mathematically, we can write as follow:

8C.P= 6S.P

Ratio of S.P to C.P, i.e. S.P/C.P= 8/6

S.P/C.P= 4/3

So, the S.P and C.P is 4x and 3x respectively.

Gain= S.P-C.P

Gain= 4x-3x= x

Gain percentage= (gain/C.P)*100

=> 100x/(3x)

=> 100/3= 33.33%