Question 1070133
Let,

x = price before reduction


where x is simply a placeholder for some unknown positive number


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24% of x = (24/100)*x
24% of x = 0.24*x


To apply the 24% discount, we simply subtract the expression 0.24x from x itself like so


x - 0.24x = 1x - 0.24x
x - 0.24x = (1 - 0.24)x
x - 0.24x = 0.76x


which is the same as taking 76% of the original price

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Set that result (0.76x) equal to 380 which is the final price after the discount is applied.


So we have this equation 


0.76x = 380


Solve for x by dividing both sides by 0.76


0.76x = 380
0.76x/0.76 = 380/0.76
x = 500


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Since x = 500, the final answer is $500.