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A spends 65% of his income. His income is increased by 20.1% and the expenditure is increased by 20%. By what percent
(correct to one decimal place) does his saving increase or decrease?
Decrease by 17.7%
Increase by 20.3%
Decrease by 18.9%
Increase by 21.5%
- A's original savings = 35% of income (100% - 65% expenditure).
- Income increases by 20.1%, so new income = 120.1% of original income.
- Expenditure increases by 20%, so new expenditure = 78% of original income (65% x 1.2).
- New savings = New income - New expenditure = 120.1% - 78% = 42.1% of original income.
- Original savings were 35% of income.
- Savings' increase = New savings percentage - Old savings percentage = 42.1% - 35% = 7.1%.
- Percentage increase in savings = (7.1% / 35%) x 100% = 20.3%.
- This matches Option 2: Increase by 20.3%.
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