A reduction of 20% in the price of sugar enables a housewife purchase 6 kg…

Let the original price be p (Rs per kg).

1. Price after 20% reduction = 0.8p (Rs per kg).

2. Quantity purchased for Rs 240 before reduction = 240/p kg.

3. Quantity purchased for Rs 240 after reduction = 240/(0.8p) = 300/p kg.

4. Extra quantity = 300/p - 240/p = 60/p kg, and this equals 6 kg as given.

5. So 60/p = 6 ⇒ p = 60/6 = 10.

Original price = Rs 10 per kg.