A person can save 25% of his income. If his income increases by 20% and still he saves the same amount as before, the percentage increase in his expenditure is?Options25 1/𝟑%24%26 2/𝟑%25%
Question
A person can save 25% of his income. If his income increases by 20% and still he saves the same amount as before, the percentage increase in his expenditure is?Options25 1/𝟑%24%26 2/𝟑%25%
Solution
Let's solve this step by step:
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Let's assume the person's initial income is 100, which is $25.
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His expenditure is the income minus savings, which is 25 = $75.
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Now, his income increases by 20%. So, the new income is 100 = $120.
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He still saves the same amount as before, which is 120 - 95.
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The increase in expenditure is the new expenditure minus the old expenditure, which is 75 = $20.
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To find the percentage increase in his expenditure, we divide the increase in expenditure by the old expenditure and multiply by 100. So, the percentage increase in expenditure is (75) * 100 = 26.67%.
So, the answer is 26 2/3%.
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