profit and loss

     I purchase some eggs for $100. 20% of the eggs break in transit, out of the remaining 25%was rotten. What profit percentage should I make on the remaining to get an overall 20% profit?

Answer:

Say I purchase 100 eggs for $100

Breakage in transit = 20 eggs

Eggs remaining = 100 – 20 = 80

Rotten eggs = 0.25 x 80 = 20

So, eggs remaining for selling = 100 – (20 + 20) = 60

Cost of 60 eggs = $60

Selling price of 60 eggs = $100 x 1.2 = $120

So, overall profit % on the remaining eggs should be = 100 x (120 – 60)/60 = 100%