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Due to an increase in taxes on electronic devices, the price of a 46” LED flat TV screen has increased to GHS845, which is a 30% increase from the original price. What was the original price of the TV prior to the increase?

Question

Due to an increase in taxes on electronic devices, the price of a 46” LED flat TV screen has increased to GHS845, which is a 30% increase from the original price. What was the original price of the TV prior to the increase?

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Solution

To find the original price of the TV, we need to understand that the new price is 130% of the original price (100% original price + 30% increase).

Step 1: Express the new price as a percentage, which is 130%. So, GHS845 is 130% of the original price.

Step 2: To find 100% (the original price), we can set up a proportion and solve for the original price. Let's denote the original price as X.

So, we have the proportion:

130/100 = 845/X

Step 3: Cross-multiply to solve for X.

130X = 100845

Step 4: Divide both sides by 130 to solve for X.

X = (100*845) / 130

Step 5: Calculate the value of X.

X = GHS650

So, the original price of the TV was GHS650.

This problem has been solved

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