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

Explanation : 

As a result of 25 hike -> Finding original price of rice 

Given Information:
– Original price of rice = x rupees per kg
– Price increased by 25%
– New price = 1.25x rupees per kg
– Available money = Rs. 1,200
– Difference in quantity = 6 kg

Step 1: Calculate quantity before price hike
Original quantity = 1200/x kg

Step 2: Calculate quantity after price hike
New quantity = 1200/(1.25x) kg

Step 3: Set up equation using difference
1200/x – 1200/(1.25x) = 6

Step 4: Solve for x
1200/x – 960/x = 6
(1200 – 960)/x = 6
240/x = 6
x = 40

Therefore:
– Original price of rice = Rs. 40 per kg
– After 25% increase, new price = Rs. 50 per kg
– Original quantity = 1200/40 = 30 kg
– New quantity = 1200/50 = 24 kg
– Difference = 30 – 24 = 6 kg