Question

When the price of potatoes is reduced by 20% I could purchase 2 kg more for Rs. 80. Calculate the reduced price of potatoes per kilogram. Also calculate original price.

Answer 1

When the price of potatoes is reduced by 20% there must be saving of 20% on Rs. 80 i.e. of Rs. 16.
But, instead of saving Rs. 16, I purchased 2 kg potatoes.
$\therefore$ Reduced price of potatoes $=\frac{16}{2}=Rs.8$ per kg.
Now, let
Original price of potatoes be Rs. x.
Reduced price Original Price = R.P. : O.P.
(R.P) : (O.P.)
80 : 100 = 8 : x
$\therefore x=\frac{100\times 8}{80}=Rs.10$