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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 $₹\ 12,750$.

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