Question

6. An electrical goods shop reduces all of its price by 20% in a sale. a) Find the sale price of a television originally priced at £350. b) Find the original price of a radio that is £68 in a sale. ​

Answer 1

a) £350 * (100% - 20%) / 100% = £350 * 0.8 = £280 -- sale price

b) £68 / (100% - 20%) * 100% = £68 / 0.8 = £85 -- original price

Answer 2

a) To find the sale price of a television originally priced at £350 after a 20% reduction, you can use the following formula:

Sale Price = Original Price - (Original Price * Discount Percentage)

In this case, the original price is £350, and the discount percentage is 20%, which can be expressed as 0.20 in decimal form. Plug these values into the formula:

Sale Price = £350 - (£350 * 0.20) Sale Price = £350 - £70 Sale Price = £280

So, the sale price of the television is £280.

b) To find the original price of a radio that is £68 in a sale, you can use the following formula:

Original Price = Sale Price / (1 - Discount Percentage)

In this case, the sale price is £68, and the discount percentage is 20%, which can be expressed as 0.20 in decimal form. Plug these values into the formula:

Original Price = £68 / (1 - 0.20) Original Price = £68 / 0.80 Original Price = £85

So, the original price of the radio was £85.