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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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?
Fred
4.4111 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\%
- First Increase (30%):
- Second Increase (20%):
- Third Increase (10%):
2. Compute the overall multiplicative factor by multiplying the factors:
3. Calculate the total percentage increase:
4. The answer to the total percentage increase is:
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