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Lucky spends 85% of her income. If her expenditure increases by x %, savings increase by 60% and income increases by 26%,
then what is the value of x ?
34
30
20
26
- Lucky spends 85% of her income, meaning she saves 15% of it.
- Assume her original income is $100. Then, she spends $85 and saves $15.
- Her income increases by 26%, making her new income $126.
- Savings increase by 60%. Originally, she saved $15; now she saves $24 (15 + 60% of 15).
- This means her spending from her new income is $102 (as $126 income - $24 savings).
- Originally, she spent $85. Now she spends $102.
- The increase in expenditure is $102 - $85 = $17.
- The percentage increase in expenditure is ($17 increase / $85 original) * 100% = 20%.
- The correct option is Option 3: 20
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