Question

After spending $80\%$ of his income and giving $10\%$of the reminder to a charity, a man has Rs.$46260$ left with him. Find his income.

Answer 1

Let's find the income of the man.

Let the income of the man be $x$

He spends $80\%$ of his income so the remaining income is $20\%$

He donates the remaining $10\%$ to his charity$=\frac{10}{100}\times 20\%=2\%$

Hence the total money he spends and donates to charity $=80\%+2\%=82\%$

The income left with him$=100\%-82\%=18\%$

The man has Rs.$46260$ which is $18\%$ of his total income.

Therefore, the total income of the man is $Rs257000$