a reduction of 20% in the price of sugar enables a purchaser to obtain 2.5 kg more for Rs.160.find the original rate and the reduced price per kg.

1 answer

find the original rate ?
you meant: find the original price ?

let original price be x
.8x = 160
x = 160/.8 = 200

but that is for 2.5 kg
so original price per kg = 200/2.5 = 80
reduced price per kg = 160/2.5 = 64

notice that 64 equals 80% of 80