Math Problem Statement

in a sale normal prices are reduced by 30 percent the sale price of a tv is £280 work out the normal price of the TV

Solution

Let the normal price of the TV be denoted as xx.

Since the price is reduced by 30%, the sale price is 70% of the normal price. So we can write the following equation:

0.7x=2800.7x = 280

To find the normal price, divide both sides of the equation by 0.7:

x=2800.7=400x = \frac{280}{0.7} = 400

Thus, the normal price of the TV is £400.

Would you like a further explanation or have any other questions?

Here are 5 related questions for practice:

  1. If another item in the sale is priced at £350 after a 25% reduction, what is the original price?
  2. If a £500 laptop is on sale with a 20% discount, what is the sale price?
  3. A dress costs £150 after a 40% discount. What was the original price?
  4. How much would a £1000 item be after a 30% discount?
  5. If an item is sold for £210 after a 30% discount, what was the original price?

Tip: To find the original price after a discount, divide the sale price by the percentage of the original price that remains.

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Math Problem Analysis

Mathematical Concepts

Percentage reduction
Algebra

Formulas

Sale price = (1 - discount) * normal price

Theorems

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Suitable Grade Level

Grades 6-8