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Let's break down the problem step by step:

Let the person's total income be \( x \).

1. **Step 1: Giving 20% to the elder son**  
   The amount given to the elder son is 20% of \( x \), which is:
   \[
   \text{Amount given to elder son} = 0.2x
   \]
   Remaining income after this is:
   \[
   \text{Remaining} = x - 0.2x = 0.8x
   \]

2. **Step 2: Giving 30% of the remaining to the younger son**  
   The amount given to the younger son is 30% of the remaining income (0.8x):
   \[
   \text{Amount given to younger son} = 0.3 \times 0.8x = 0.24x
   \]
   Remaining income after this is:
   \[
   \text{Remaining} = 0.8x - 0.24x = 0.56x
   \]

3. **Step 3: Donating 10% of the remaining to a trust**  
   The amount donated to the trust is 10% of the remaining income (0.56x):
   \[
   \text{Amount donated} = 0.1 \times 0.56x = 0.056x
   \]
   Remaining income after the donation is:
   \[
   \text{Remaining} = 0.56x - 0.056x = 0.504x
   \]

4. **Step 4: Final amount left**  
   The person is left with Rs. 10,080, so:
   \[
   0.504x = 10080
   \]

5. **Step 5: Solving for \( x \)**  
   To find the total income \( x \), we divide both sides by 0.504:
   \[
   x = \frac{10080}{0.504} = 20000
   \]

So, the person's total income was **Rs. 20,000**.

Would you like further details or have any questions?

### Related Questions:
1. What is the percentage of income remaining after giving to both sons?
2. How much money was given to each of the sons?
3. What was the total amount donated to the trust?
4. What percentage of his income did he retain after all the transactions?
5. How would the solution change if the percentage given to the elder son was different?

### Tip: 
Breaking down problems step by step, especially in percentage-based questions, helps avoid confusion and ensures you account for each portion of the transaction accurately.

A person gave 20% of his income to his elder son, 30% of the remaining to the younger son and 10% of the balance, he donated to a trust. He is left with Rs. 10080. His income was:

Learn how to determine the original income of a person who gave away portions of his income to his sons and a trust, and is left with Rs. 10080. This problem involves key algebraic concepts and percentage calculations, suitable for students in Grades 8-10.

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