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A washing machine that cost R$ 1,324.00 was sold with successive increases of 30% + 20% + 10%. What is the total percentage increase?

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Answer to a math question A washing machine that cost R$ 1,324.00 was sold with successive increases of 30% + 20% + 10%. What is the total percentage increase?

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Fred
4.4
105 Answers
1. Calculate the multiplicative factors for each increase:

- First Increase (30%):
\text{Factor}_1 = 1 + \frac{30}{100} = 1.30

- Second Increase (20%):
\text{Factor}_2 = 1 + \frac{20}{100} = 1.20

- Third Increase (10%):
\text{Factor}_3 = 1 + \frac{10}{100} = 1.10

2. Compute the overall multiplicative factor by multiplying the factors:

\text{Total Factor} = 1.30 \times 1.20 \times 1.10 = 1.716

3. Calculate the total percentage increase:

\text{Total Percentage Increase} = (1.716 - 1) \times 100\% = 0.716 \times 100\% = 71.6\%

4. The answer to the total percentage increase is:

71.6\%

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