Pregunta
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2. Mia earns R9 200 a month. Her rent is R1 900 . Write her rent as a percentage of her income. 3. A bottle of Valpré water costs R5,50. If the price increases by \( 15 \% \), what will be the new price of the bottle?

Ask by Mann Hammond. in South Africa
Mar 10,2025

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1. Mia's rent is approximately 20.65% of her income. 2. The new price of the bottle of water after a 15% increase is approximately R6.33.

Solución

1. **Rent as a Percentage of Income** Mia's income is \(9\,200\) and her rent is \(1\,900\). To find her rent as a percentage of her income, we use the formula: \[ \text{Percentage} = \left(\frac{\text{Rent}}{\text{Income}}\right) \times 100\% \] Substituting the values: \[ \text{Percentage} = \left(\frac{1\,900}{9\,200}\right) \times 100\% \] Simplify the fraction by dividing numerator and denominator by \(100\): \[ \frac{1\,900}{9\,200} = \frac{19}{92} \] Now, calculate the decimal value: \[ \frac{19}{92} \approx 0.2065 \] Multiply by \(100\%\): \[ 0.2065 \times 100\% \approx 20.65\% \] Therefore, Mia's rent is approximately \(20.65\%\) of her income. 2. **New Price after a \(15\%\) Increase** The original price of the bottle of water is \(R5.50\). A \(15\%\) increase means that we multiply the original price by \(1 + 0.15 = 1.15\). \[ \text{New Price} = 5.50 \times 1.15 \] Multiply: \[ 5.50 \times 1.15 = 6.325 \] Depending on rounding conventions (typically rounding to two decimal places for currency), the new price can be rounded to: \[ R6.33 \] Therefore, after a \(15\%\) increase, the new price of the bottle of water will be approximately \(R6.33\).

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To find Mia's rent as a percentage of her income, divide her rent (R1,900) by her monthly income (R9,200) and then multiply by 100. So, (R1,900 / R9,200) * 100 = 20.65%. This means her rent takes up about 20.65% of her monthly income – crucial info for budgeting! Now, to compute the new price of the Valpré water bottle after a 15% increase, start with the original price of R5.50. Calculate 15% of R5.50, which is R0.825. When you add this to the original price (R5.50 + R0.825), the new price will be R6.325. So, the bottle will cost approximately R6.33 after the increase – better grab some before that hike!

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