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A laptop originally priced at R6 999 is on sale for R5 999 (excluding VAT). Calculate the discount amount, percentage discount, and the VAT charged at a 15% rate.

Mathematics

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Answer

2.3

2.1: R1 000\text{2.1: R}1\,000

2.2: 14.29%\text{2.2: }14.29\%

2.3: R899.85\text{2.3: R}899.85

Step 1: Identify the original price and the sale price of the laptop.
Original price = R6 999
Sale price (excluding VAT) = R5 999

2.1 Calculate the discount.
The discount is the difference between the original price and the sale price.

Discount=Original price−Sale price\text{Discount} = \text{Original price} - \text{Sale price} Discount=R6 999−R5 999\text{Discount} = \text{R}6\,999 - \text{R}5\,999 Discount=R1 000\text{Discount} = \text{R}1\,000

The discount is R1 000.

2.2 Calculate the percentage discount on the laptop.
The percentage discount is the discount amount divided by the original price, multiplied by 100%100\%.

Percentage discount=DiscountOriginal price×100%\text{Percentage discount} = \frac{\text{Discount}}{\text{Original price}} \times 100\% Percentage discount=R1 000R6 999×100%\text{Percentage discount} = \frac{\text{R}1\,000}{\text{R}6\,999} \times 100\% Percentage discount≈0.14287755×100%\text{Percentage discount} \approx 0.14287755 \times 100\% Percentage discount≈14.29%\text{Percentage discount} \approx 14.29\%

The percentage discount is approximately 14.29%14.29\%.

2.3 Calculate the amount of VAT that was charged on the sale price of the laptop.
The sale price excluding VAT is R5 999.
The standard VAT rate is 15%15\%.

VAT amount=Sale price (excl VAT)×VAT rate\text{VAT amount} = \text{Sale price (excl VAT)} \times \text{VAT rate} VAT amount=R5 999×15%\text{VAT amount} = \text{R}5\,999 \times 15\% VAT amount=R5 999×15100\text{VAT amount} = \text{R}5\,999 \times \frac{15}{100} VAT amount=R5 999×0.15\text{VAT amount} = \text{R}5\,999 \times 0.15 VAT amount=R899.85\text{VAT amount} = \text{R}899.85

The amount of VAT charged on the sale price is R899.85.

2.1: R1 000\boxed{\text{2.1: R}1\,000} 2.2: 14.29%\boxed{\text{2.2: }14.29\%} 2.3: R899.85\boxed{\text{2.3: R}899.85}
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