Question

Amit earns $Rs16000$ per month. He spends $\frac{1}{4}$ of his income on food; $\frac{3}{10}$ of the remainder on house rent and $\frac{5}{21}$ of the remainder on the education of children. How much money is still left with him?

Answer 1

Total amount earned by Amit $=Rs16000$

Amount spent on food $=\frac{1}{4}$ of $Rs16000=Rs4000$

Balance $=Rs16000-Rs4000=Rs12000$

Amount spent on house rent $=\frac{3}{10}$ of $Rs12000$

= $Rs\frac{36000}{10}=Rs3600$

Amount left $=Rs12000-Rs3600=Rs8400$

Amount spent on education of children $=\frac{5}{21}$ of $Rs8400$

= $\frac{42000}{21}=Rs2000$

Amount left $=Rs8400-Rs2000=Rs6400$

Hence, the man is left with the $Rs6400$.