Due to a 25% price hike in the price of
rice, a person is able to purchase 20 kg less of rice for `
400. Find the initial price.

Let's solve the problem step-by-step to find the initial price of rice.

### Step-by-Step Solution:

1. **Let the initial price of rice be \( x \) (in currency units per kg).**

2. Given that after a 25% price hike, the price of rice becomes \( 1.25x \).

3. A person has \( 400 \) currency units to spend. At the initial price, the person could buy:
   \[
   \text{Initial quantity of rice} = \frac{400}{x} \, \text{kg}
  

Due to a 25% price hike in the price of rice, a person is able to purchase 20 kg less of rice for ₹400. Find the initial price.

This math problem explains how to find the initial price of rice after a 25% price hike, using proportions and percentage increase formulas. Given that a person can buy 20 kg less for ₹400, the solution involves algebraic equations and is suitable for students in Grades 8-10.

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