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.
