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Let's break down the problem step by step.

### Given:
- A man spends:
  - 60% of his salary on household expenses.
  - 20% of his salary on rent.
- Out of the remaining salary, he donates 80% to a trust.
- He is left with ₹20,000 after all the deductions.

We need to determine his total salary.

### Solution:

1. Let the salary be \( x \).

2. He spends 60% of his salary on household expenses and 20% on rent. Thus, the total amount spent on household and rent is:
   \[
   (60\% + 20\%) = 80\% \text{ of } x
   \]
   So, he is left with 20% of his salary after expenses:
   \[
   \text{Remaining salary} = 20\% \times x = 0.2x
   \]

3. From this remaining salary, he donates 80% to a trust:
   \[
   \text{Donated amount} = 80\% \times (0.2x) = 0.8 \times 0.2x = 0.16x
   \]

4. After donating to the trust, he is left with 20% of the remaining salary, which is given as ₹20,000:
   \[
   0.2 \times (0.2x) = 0.04x = 20,000
   \]

5. Solving for \( x \):
   \[
   0.04x = 20,000
   \]
   \[
   x = \frac{20,000}{0.04} = 5,00,000
   \]

Thus, the man's total salary is ₹5,00,000.

### Answer: ₹5,00,000 (Option 4).

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Would you like more details or have any questions? Here are some additional practice problems:

1. If the man was left with ₹30,000 instead of ₹20,000, what would his salary be?
2. What would be the salary if the man spent 70% on household expenses and rent combined?
3. How much would he have donated to the trust if his salary was ₹6,00,000?
4. If the donation percentage to the trust was 70% instead of 80%, how much would he have been left with?
5. Calculate the man's salary if after all expenses and donations he is left with ₹10,000.

#### Tip: When solving percentage problems, always break down the deductions step by step to avoid confusion.

A man spent 60% of his salary on household expenses, 20% of his salary on rent and out of remaining salary, he donated 80% to a trust. If he is left with ₹20,000, then what is his salary?

Learn how to calculate the total salary when a man spends 60% on household, 20% on rent, and donates 80% of the remaining salary. This problem involves percentages and algebra, suitable for Grades 9-12.

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