A person spends 16.66% of his income on house rent. 17%of the remaining on the clothes, 23% on foods and 10%of the remaining on education He deposited remaining amount in bank find the ratio of total income and total expenditure?Options11:2009:1120:1111:09
Question
A person spends 16.66% of his income on house rent. 17%of the remaining on the clothes, 23% on foods and 10%of the remaining on education He deposited remaining amount in bank find the ratio of total income and total expenditure?Options11:2009:1120:1111:09
Solution
To solve this problem, we first need to understand that the person is spending a certain percentage of his income on different things and then depositing the remaining amount in the bank. We need to find the ratio of his total income to his total expenditure.
Let's assume the person's total income is $100 (since percentages are based on 100, this will make our calculations easier).
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The person spends 16.66% of his income on house rent. So, he spends 100 - 83.34.
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He then spends 17% of the remaining amount (83.34 = 83.34 - 69.17.
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He then spends 23% of the remaining amount (69.17 = 69.17 - 53.26.
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He then spends 10% of the remaining amount (53.26 = 53.26 - 47.93.
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The remaining amount ($47.93) is deposited in the bank.
Now, we need to find the ratio of his total income (16.66 + 15.91 + 52.07.
So, the ratio of his total income to his total expenditure is 52.07. To simplify this ratio, we can divide both sides by $52.07, which gives us approximately 1.92 : 1.
Therefore, the ratio of the person's total income to his total expenditure is approximately 1.92 : 1. This is not one of the options given, so there may be a mistake in the problem or the options.
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