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A girl spends 76% of her income. If her income increases by 18% and her expenditure increases by 25%,then what is the
percentage increase or decrease in her savings (correct to one decimal place)?
6.9%, decrease
4.2%, decrease
5.7%, increase
8.4%, increase
To solve this problem, let's break it down:
- Initial Conditions:
- The girl spends 76% of her income.
- Therefore, initially, savings are 24% of her income.
- With Increased Income & Expenditure:
- Income increases by 18%. So, new income = 118% of the original income.
- Expenditure increases by 25%. New expenditure is 125% of the old expenditure.
- Original expenditure was 76% of the original income.
- New expenditure = 1.25 * 76% = 95% of the original income.
- Calculate New Savings:
- With the new income, savings = New income - New expenditure.
- New savings = 118% (of original income) - 95% (of original income) = 23% of the original income.
- Percentage Change in Savings:
- The initial savings were 24% of the original income.
- New savings are 23% of the original income.
- Percentage change = [(23 - 24) / 24] * 100 = -4.2%.
- Conclusion:
- The savings decreased by 4.2%.
Option 2: 4.2% decrease is correct.
.
By: santosh ProfileResourcesReport error
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