Question

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

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Answer 1

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Hint: Use how to convert percentage into fraction from. Let's take an example x% of y could be written as $\frac{x}{100} \times y$

Let income of the man be x that is 100% of his income.

Now, he spen 80% of his income. So, the remaining income be 100% - 80% = 20%

Now, the man gave 10% of the remaing income in a charity that is $\frac{10}{100} \times 20 = 2\%$ that mean give 2% of his total income in a charity.

So, the total percentage of income man spens and gives in charity is $80\% + 2\% = 82\%.$

Now, percentage of income left

100% - 82% = 18%

So, the man has ₹46260 that is 18% of his total income.

$\frac{18}{100} \times x = 46260$

$x = \frac{4626000}{18}$

$x = 257000$

So, the income of the man is ₹ 257000.