A reduction of 20% in the price of sugar enables a purchaser to obtain 4 kg more for ₹160. The original price of sugar per kg is:

₹10

20% =   \(\frac{1}{5}\)

Ratio of             Original         New

Price                      5        :      4

Quantity                  4       :       5

{ Price ∝ \(\frac{1}{Consumption}\) }

ATQ ,

1R = 4

Initial quantity of Sugar = 4 × 4 =  16

Original price of Sugar = \(\frac{160}{16}\) 

= Rs. 10