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23 September, 07:15

Out of his total income Hamza spends 20% on the house rent and 70% of the rest on the household expenditure. If he saves Rs. 1800, what is his total income?

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Answers (2)
  1. 23 September, 07:40
    0
    Hamza's total income is Rs. 7500

    Step-by-step explanation:

    Here we have 20% of income spent on rent

    70% of the rest spent om household expenditure

    We take the balance as Rs. 1800, therefore, we have

    Therefore, we have 70% of (100 - 20) or 70% * 80% = 0.7*0.8 spent on household expenditure

    Which is 0.56 or 56% spent on household expenditure

    Therefore total percentage spent is 20+56 = 76%

    balance percentage left is 24%

    ∴Amount saved is 24% which is Rs. 1800

    Therefore we have 24% of Hamza's total income = Rs. 1800

    Hamza's total income is therefore Rs. 1800 * 100/24 = Rs. 7500.
  2. 23 September, 10:55
    0
    7,500

    Step-by-step explanation:

    Let's call the total income of Hamza by 'X'.

    First he spends 20% of his income, so the remaining value is:

    X - 20% of X = X - 0.2X = 0.8X

    Then, he spends 70% of the rest, so he spends 70% of 0.8X:

    0.8X - 70% of 0.8X = 0.8X - 0.7*0.8X = 0.8X - 0.56X = 0.24X

    If this remaining is equal to 1800, we have that:

    0.24X = 1800

    X = 1800/0.24 = 7500

    His total income is 7,500.
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