Answer :

To determine the original price of the refrigerator before the 20% hike, we can follow these steps:

1. Understand the relationship between the original and final prices:
After a 20% hike, the final price of the refrigerator becomes ₹ 15300. This means that the original price plus 20% of the original price equals ₹ 15300.

2. Express this relationship mathematically:
Let's denote the original price by [tex]\( P \)[/tex].

The final price [tex]\( F \)[/tex] can be expressed as:
[tex]\[ F = P + 0.20P \][/tex]
Simplifying this, we get:
[tex]\[ F = 1.20P \][/tex]

3. Substitute the given final price into the equation:
We know that the final price [tex]\( F \)[/tex] is ₹ 15300.
[tex]\[ 15300 = 1.20P \][/tex]

4. Solve for the original price [tex]\( P \)[/tex]:
To find [tex]\( P \)[/tex], we need to divide both sides of the equation by 1.20:
[tex]\[ P = \frac{15300}{1.20} \][/tex]

5. Calculate the value:
Performing the division, we find:
[tex]\[ P = 12750 \][/tex]

Therefore, the original price of the refrigerator was ₹ 12750.