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The current price of a good is R1 865,99 . What will the good cost if we increase the price by \( 13,45 \% \) ?

Ask by Todd Flynn. in South Africa
Mar 13,2025

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Answer

The new price of the good after a 13.45% increase is R2,116.97.

Solution

To find the cost of the good after increasing the price by 13.45%, we can use the formula for percentage increase: \[ \text{New Price} = \text{Current Price} \times (1 + \text{Percentage Increase}) \] Given: - Current Price = R1 865,99 - Percentage Increase = 13.45% Substitute the values into the formula: \[ \text{New Price} = 1865.99 \times (1 + 0.1345) \] Now, we can calculate the new price. Calculate the value by following steps: - step0: Calculate: \(1865.99\left(1+0.1345\right)\) - step1: Add the numbers: \(1865.99\times 1.1345\) - step2: Multiply the numbers: \(2116.965655\) The new price of the good after increasing the price by 13.45% will be R2,116.97.

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The Deep Dive

If we increase the price by \( 13.45\% \), we first calculate the amount of the increase: \( R1,865.99 \times 0.1345 = R251.07 \) (rounded). Now, adding this increase back to the original price gives us: \( R1,865.99 + R251.07 = R2,117.06 \). So, the new price will be approximately \( R2,117.06 \). Understanding percentage increases can be super useful in real-world scenarios, like assessing discounts during sales or adjusting salaries. For example, if a salary is raised by a certain percentage, knowing how to calculate the new salary quickly can help you manage your budget better or negotiate offers confidently!

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