Pregunta
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GRADE 9 FINANCIAL MATHEMATICS WORKSHEET 1. Thulani sells chocolates at R12 each, after he has added \( 40 \% \) profit. What was the cost price of these chocolates?

Ask by Rojas Griffiths. in South Africa
Feb 19,2025

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The cost price of the chocolates is R8.57.

Solución

To find the cost price of the chocolates, we can use the formula: \[ \text{Cost Price} = \frac{\text{Selling Price}}{1 + \text{Profit Percentage}} \] Given: - Selling Price = R12 - Profit Percentage = 40% Substitute the values into the formula: \[ \text{Cost Price} = \frac{12}{1 + 0.4} \] Now, we can calculate the cost price. Calculate the value by following steps: - step0: Calculate: \(\frac{12}{\left(1+0.4\right)}\) - step1: Remove the parentheses: \(\frac{12}{1+0.4}\) - step2: Add the numbers: \(\frac{12}{1.4}\) - step3: Convert the expressions: \(\frac{12}{\frac{7}{5}}\) - step4: Multiply by the reciprocal: \(12\times \frac{5}{7}\) - step5: Multiply: \(\frac{12\times 5}{7}\) - step6: Multiply: \(\frac{60}{7}\) The cost price of the chocolates is \(8\frac{4}{7}\) or approximately 8.57.

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Bonus Knowledge

To find the cost price, we start by understanding that if Thulani sells chocolates for R12 after a 40% profit, that R12 represents 140% of the cost price. We can denote the cost price as \(C\). Thus, we can set up the equation: \[ 1.4C = 12 \] To find \(C\), we divide both sides by 1.4: \[ C = \frac{12}{1.4} = 8.57 \] So, the cost price of the chocolates is approximately R8.57. To double-check, if the cost price is R8.57, then a 40% profit would be calculated as follows: \[ 40\% \text{ of } 8.57 = 0.4 \times 8.57 = 3.43 \] Adding this to the cost price gives: \[ 8.57 + 3.43 = 12 \] This confirms that the cost price is indeed approximately R8.57.

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