Question

Chloe is saving money to buy a flat sereen television and to install DSTV in her fat.

While browsing the internet, she came across the following special promotion.
8999
6999
WINNER
Chloe does not have enough money to pay cash for these items and investigates the hire purchase option. The deal entails the following:
10% deposit
20,75% annual simple interest and 3 years to pay
1.2.1 The promotion on the internet states that the discount offered on the more expensive option is 15%. Calculate the percentage discount if the original price was R10 499, 00 in order to verify the claim.
rule
(3)
15/ 10499 - 151 4135
1.2.2 IfChloe decides to take the more expensive deal. Calculate the deposit she has to pay. (2)

Answer 1

To calculate the percentage discount on the more expensive option when the original price was R10,499.00, you can use the formula for calculating the percentage discount:

Percentage Discount = [(Original Price - Discounted Price) / Original Price] * 100%

Given:

Original Price (before discount) = R10,499.00

Discount Percentage = 15%

First, calculate the discounted price:

Discounted Price = Original Price - (Discount Percentage * Original Price / 100)

Discounted Price = 10,499 - (15 * 10,499 / 100)

Discounted Price = 10,499 - (1,574.85)

Discounted Price = 8,924.15

Now, calculate the percentage discount:

Percentage Discount = [(10,499 - 8,924.15) / 10,499] * 100%

Percentage Discount = (1,574.85 / 10,499) * 100%

Percentage Discount ≈ 15%

So, the percentage discount is approximately 15%, which verifies the claim made in the promotion.

1.2.2 To calculate the deposit Chloe has to pay for the more expensive deal, you can use the given information:

Original Price (before discount) = R10,499.00

Discount Percentage = 15%

Deposit Percentage = 10%

First, calculate the discounted price as we did in the previous question:

Discounted Price = 10,499 - (15 * 10,499 / 100)

Discounted Price ≈ R8,924.15

Now, calculate the deposit:

Deposit = Deposit Percentage * Discounted Price / 100

Deposit = 10 * 8,924.15 / 100

Deposit ≈ R892.42

Chloe would need to pay a deposit of approximately R892.42 for the more expensive deal.

Explanation: