QuestionCalculate the percentage discount for an original price of R 10499,00 with a $15\%$ discount.

Studdy Solution

STEP 1

Assumptions1. The original price of the item is R10499,00. The discount offered is15%
3. We need to verify the claim by calculating the percentage discount

STEP 2

First, we need to calculate the discount amount. We can do this by multiplying the original price by the discount rate.
$Discount\, amount = Original\, price \\times Discount\, rate$

STEP 3

Now, plug in the given values for the original price and discount rate to calculate the discount amount.
$Discount\, amount = R10499,00 \\times15\%$

STEP 4

Convert the percentage to a decimal value.
$15\% =0.15$ $Discount\, amount = R10499,00 \\times0.15$

STEP 5

Calculate the discount amount.
$Discount\, amount = R10499,00 \\times0.15 = R1574,85$

STEP 6

Now that we have the discount amount, we can calculate the percentage discount. This is done by dividing the discount amount by the original price and then multiplying by100 to get the percentage.
$Percentage\, discount = (Discount\, amount / Original\, price) \\times100$

STEP 7

Plug in the values for the discount amount and the original price to calculate the percentage discount.
$Percentage\, discount = (R1574,85 / R10499,00) \\times100$

STEP 8

Calculate the percentage discount.
$Percentage\, discount = (R1574,85 / R10499,00) \\times100 =15 \%$ The percentage discount is indeed15%, so the claim is verified.

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