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After spending 80% of his income and giving 10% of the remainder in a charity, a man has Rs.46260 left with him .Find his income.

Last updated date: 28th Feb 2024
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IVSAT 2024
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Hint-Use how to convert percentage into fraction form. Let’s take an example x% of y could be written as $\dfrac{x}{{100}} \times y$ .

Let income of a man be x that is 100% of his income.
Now, he spends 80% of his income. So, the remaining income is $100\% - 80\% = 20\% $
Now, man gave 10% of the remaining income in a charity that is $\dfrac{{10}}{{100}} \times 20 = 2\% $ that means man gave 2% of his total income in a charity.
So, the total percentage of income man spends and gives in charity is $80\% + 2\% = 82\% $ .
Now, percentage of income left $100\% - 82\% = 18\% $
So, the man has Rs.46260 that is 18% of his total income.
   \Rightarrow \dfrac{{18}}{{100}} \times x = 46260 \\
   \Rightarrow x = \dfrac{{4626000}}{{18}} \\
   \Rightarrow x = 257000 \\
So, the income of man is Rs.2, 57,000

Note-Whenever we face such types of problems we use some important points. First we assume the 100% income is x then find the total percentage of income spent by man and also calculate the percentage of left income. We know the percentage of left income is equal to the amount left.