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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%

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Solution

Let's solve this step by step:

  1. Let's assume the person's initial income is 100.So,hesaves25100. So, he saves 25% of 100, which is $25.

  2. His expenditure is the income minus savings, which is 100100 - 25 = $75.

  3. Now, his income increases by 20%. So, the new income is 100+20100 + 20% of 100 = $120.

  4. He still saves the same amount as before, which is 25.So,hisnewexpenditureisthenewincomeminussavings,whichis25. So, his new expenditure is the new income minus savings, which is 120 - 25=25 = 95.

  5. The increase in expenditure is the new expenditure minus the old expenditure, which is 9595 - 75 = $20.

  6. 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 (20/20 / 75) * 100 = 26.67%.

So, the answer is 26 2/3%.

This problem has been solved

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