A reduction of 10% in the price of sugar enables a person to buy 6.2 kg more for ₹2790. What is the reduced price per kilogram?

Let original price per kg = x. Reduced price = 0.9x. Original quantity for ₹2790 = 2790/x. New quantity = 2790/(0.9x). The difference is 6.2 kg: 2790/(0.9x) - 2790/x = 6.2. This gives 2790(1/0.9 - 1)/x = 6.2, i.e., 2790 × (0.1/0.9)/x = 6.2, so 2790/(9x) = 6.2, thus 9x = 2790/6.2 = 450, giving x = 50. Reduced price = 0.9 × 50 = ₹45.