As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for ₹ 1,200. What was the original price of rice per kg?

1. **Identify the 'Extra Money' needed:** The price of rice rose by 25%. If the person wanted to buy the *same* amount of rice as before, they would need 25% more money.\n\n2. **Calculate the Virtual Deficit:** \n $25\\% \\text{ of } 1,200 = \\frac{1}{4} \\times 1,200 = 300$.\n So, the person is effectively 'short' by ₹300. [75]\n\n3. **Link Deficit to Goods:** Because they are short by ₹300, they have to buy **6 kg less** rice. This implies that at the **current (new) price**, those 6 kg of rice cost exactly ₹300.\n\n4. **Find the New Price:**\n $\\text{New Price} = \\frac{300}{6} = 50 \\text{ rupees per kg}$. [31]\n\n5. **Back-Calculate Original Price:**\n The New Price (₹50) is the result of a 25% hike on the Original Price. This means:\n $125\\% \\text{ of Original Price} = 50$\n $\\frac{5}{4} \\times \\text{Original Price} = 50$\n $\\text{Original Price} = 50 \\times \\frac{4}{5} = 40$.\n\n The original price was ₹40 per kg.