Due to a reduction of 6.25% in the price of sugar, a man can buy 1 kg more for Rs. 120. The reduced price per kg of sugar is:

Given:

Original total cost = Rs. 120

Reduction in price = 6.25%

Extra sugar bought = 1 kg

Formula Used:

Reduced price per kg = (Original price per kg) × (1 - Reduction percentage)

Calculation:

Let the original price per kg be Rs. x.

Reduction percentage = 6.25% = 6.25/100 = 1/16

Reduced price per kg = x × (1 - 1/16) = 15x/16

With the reduced price, the man can buy 1 kg more for Rs. 120.

120 / (15x/16) - 120 / x = 1

120 × (16/15x) - 120 / x = 1

⇒ 1280 / 15x - 120 / x = 1

⇒ 1280 - 1800 / 15x = 1

⇒ (1280 - 1800) / 15x = 1

⇒ -520 / 15x = 1

⇒ 15x = 520

⇒ x = 520 / 15

⇒ x = 34.67

Reduced price per kg = 15x/16

⇒ 15 × 34.67 / 16

⇒ 520 / 16

⇒ Rs. 7.5

The reduced price per kg of sugar is Rs. 7.5.