a reduction of 20% in the price of eggs would enable a man to obtain 6 more for rs 10 what is the original price per dozen of eggs

Answer 1

original cost per egg --- x
cost per egg after reduction = .8x

number of eggs for rs 10 at x = 10/x
number of eggs for rs 10 at .8x = 10/(.8x) = 12.5/x

12.5/x - 10/x = 6
2.5x = 6
x = 6/2.5 = 2.4

original cost per dozen = 12(2.4) = Rs 28.8

check my arithmetic

Answer 2

But answer is 5 can you explain

Answer 3

12.5/x-10/x=6
6x=2.5
X=2.5/6=0.4166
Price per dozen
12*0.4166=4.999 or 5