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A man spends 65% of his income. His income increases by 20% and his expenditure also increases by 10%. The percentage of
increase in his savings is ________.
38.5%
35.8%
10%
20%
Let's break down the problem step by step:
- Initial Situation:
- The man spends 65% of his income and saves 35%.
- Income Increase:
- Income increased by 20%. This means the new income is 120% of the original.
- Expenditure Increase:
- His expenditure increases by 10%. If he initially spent 65%, his new expenditure will be 71.5%.
- Calculation of New Savings:
- Original savings = 35% of original income.
- New income = 120% of original income.
- New expenditure = 71.5% of new income (120% of original income).
- New savings = New income - New expenditure = (120% - 71.5%) of original income = 48.5% of original income.
- Percentage Increase in Savings:
- Increase = New savings (48.5%) - Original savings (35%) = 13.5%.
- Percentage increase = (13.5% / 35%) × 100 = 38.57%.
Correct Answer: Option 1: 38.5%
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