Question:
Amit earns ₹ 32000 per month. He spends $\frac{1}{4}$ of his income of 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?
Solution:
Amit's income per month $=₹ 32,000$
Money spent on food $=\frac{1}{4}$ of ₹ $32,000=\frac{1}{4} \times ₹ 32,000=₹ 8,000$
Remaining amount $=₹ 32,000-₹ 8,000=₹ 24,000$
Money spent on house rent $=\frac{3}{10} \times ₹ 24,000=$ Rs 7,200
Money left = ₹24,000- ₹7,200 = ₹16,800
Money spent on education of children $=\frac{5}{21} \times ₹ 16,800=₹ 4,000$
Amount of money still left with him $=₹ 16,800-₹ 4,000=₹ 12,800$