After a 90% reduction, you purchase a DVD player on sale for $50. What was the original price of the DVD player?
To find the original price of the DVD player after a 90% reduction, we can use the formula:
Original Price = Sale Price / (1 - Reduction Percentage)
Given that the sale price is $50 and the reduction percentage is 90% (0.90), we can substitute these values into the formula:
Original Price = $50 / (1 - 0.90)
Original Price = $50 / 0.10
Original Price = $500
Therefore, the original price of the DVD player was $500.
To determine the original price of the DVD player, we can reverse the 90% reduction that was applied to the sale price.
Let's use a simple equation:
Original price - 90% reduction = Sale price
Let's denote the original price as 'P'. The 90% reduction can be represented as 0.9(P). And the sale price is given as $50.
So, the equation becomes:
P - 0.9(P) = $50
Now, we can solve for 'P':
P - 0.9P = $50
By combining like terms, we get:
0.1P = $50
To isolate 'P', we can divide both sides of the equation by 0.1:
P = $50 / 0.1
Performing the division, we find:
P = $500
Therefore, the original price of the DVD player was $500.
0.1x = 50
Solve for x.