SOLUTION: After being discounted 35%, a radio sells for $38.58. Find the original price. (Round your answer to the nearest cent.)

Question 486216: After being discounted 35%, a radio sells for $38.58. Find the original price. (Round your answer to the nearest cent.)
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Call the original price P. Then the store subtracts 35% of P from the price. Recall that 35% of P is the same as 0.35 times P. So the new price is:
.
P - 0.35P
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and the problem says that this new price is $38.58.
.
So in equation form this becomes:
.
P - 0.35P = 38.58
.
Combine the two terms on the left side by performing the subtraction to get:
.
0.65P = 38.58
.
Solve for P by dividing both sides by 0.65 to get:
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P = 38.58/0.65 = 59.35384615
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And rounding off the answer to the nearest cent tells us that the original price of the radio was:
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P = $59.35
.
Hope this helps you with learning how prices are marked down.
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