A man spends 20% of his monthly salary on food and one-fourth of the remaining salary on charity. If he saves ₹9,600 per month, which is equal to half of the balance after spending on food and charity, then his monthly salary is:

₹32,000

Let the man's salary = 100x

The money spent on food =  20% of x = 20x

Remaining amount = 100x - 20x = 80x

Money spent on charity = \(\frac{1}{4}\) × 80x = 20x

Remaining amount = 80x - 20x = 60x

According to the question,

9600 = \(\frac{1}{2}\) × 60x

x = \(\frac{9600}{30}\) = 320

100x = 320 ×100 = 32000

So , Salary of Men = 32,000