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After a $20$ % hike, the cost of a refrigerator is 15300 . What was the original price of the refrigerator?
Given: After a $20$ % hike, the cost of a refrigerator is $15,300$.
To do: To find the original price of the refrigerator.
Solution:
Let the original price of the refrigerator be $₹\ x$.
As given,
$x+20$ % of $x=15,300$
$\Rightarrow x+\frac{20}{100}\times x=15,300$
$\Rightarrow x+\frac{x}{5}=15,300$
$\Rightarrow \frac{5x+x}{5}=15,300$
$\Rightarrow \frac{6x}{5}=15,300$
$\Rightarrow x=15,300\times\frac{5}{6}$
$\Rightarrow x=12,750$
Hence, the original price of the refrigerator is $₹\ 12,750$.
Updated on: 10-Oct-2022
1K+ Views
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