Question

The cost price of 32 articles is equal to the selling price of two dozen of them.Find the gain or loss percent

Answer 1

let the cost pries of 1 article is x
and selling pries of 1 article is y
then cost pries of 32 articles is = 32x
and selling pries of 24 articles is = 24y
according to question
32x = 24y
y = 32x/24
selling price of 32 articles = 32*32x/24
gain = SP-CP
       = 32*32x/24 - 32x
       = 32x(32/24 - 1)
       = 32x*8/24
       = 32x/3
gain% = gain*100/CP
         = ((32x/3)*100)/32x
         = 100/3

Answer 2

Profit percentage =33.3%.