# 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?

(a) Rs. 30

(b) Rs. 40

(c) Rs. 50

(d) Rs. 60

Correct Answer: (b) Rs. 40

#### Question from UPSC Prelims 2020 CSAT Paper

**Explanation : **

## Finding original price of rice

Let’s say the original price of rice per kg was x rupees. After a 25% hike in price, the new price would be 1.25x rupees per kg.

With Rs. 1,200, the person could originally buy (1200/x) kg of rice. After the price hike, they could only buy (1200/1.25x) kg of rice.

The difference between these two quantities is 6 kg: (1200/x) – (1200/1.25x) = 6.

Solving this equation for x, we get: x = 40.

So the original price of rice per kg was indeed Rs. 40.