Question

Due to 25% fall in the rate of eggs, one can buy 2 dozen eggs more then before by investing rs 162. What was the original rate per dozen ?

Answer 1

lets, say x = demand in dozens

y = price

thus, x.y = 162

in the original price settings

Now, price has declined by 25%, and demand has increased by 2 dozen for same amount, so the equation would be,

(2 + x).(3/4[y]) = 162

This will give,

6y + 3xy = 4 (162)

6y + 3(162) = 4(162)

6y = 162

y=27

x= 6

Thus, original price was 27 rs dozen, and demand was 6 dozen