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 $₹\ 12,750$.

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Updated on: 10-Oct-2022

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