https://file.aiquickdraw.com/mathbot/file/17299361868720dcazclz.jpg

Let’s solve this step-by-step.

### Problem Breakdown

1. Let the total savings be \( x \).
2. The man gifts 25% of his total savings to his elder son.
   - Amount given to the elder son = \( 0.25x \).
   - Remaining savings = \( x - 0.25x = 0.75x \).
3. Then he gifts 40% of the remaining amount to his younger son.
   - Amount given to the younger son = \( 0.4 \times 0.75x = 0.3x \).
   - Remaining savings after both gifts = \( 0.75x - 0.3x = 0.45x \).
4. He is left with ₹ 8,307.
   - Therefore, \( 0.45x = 8307 \).

### Solution

1. Solve for \( x \):
   \[
   x = \frac{8307}{0.45}
   \]
2. Calculate \( x \) and then find 25% of \( x \) to determine how much he gifted his elder son.

Let's calculate:

\[
x = \frac{8307}{0.45} = 18460
\]

3. Amount given to the elder son:
   \[
   0.25 \times 18460 = 4615
   \]

### Answer
The man gifted ₹ 4,615 to his elder son.

Would you like further details or explanations?

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Here are related questions for deeper understanding:
1. What would be the man’s remaining savings if he had gifted 50% to his elder son?
2. If the younger son’s percentage was changed to 30%, how much would he have received?
3. How much total amount did both sons receive together?
4. What fraction of the original amount is left after both gifts?
5. If the man initially had ₹ 20,000, how much would be left after the gifts?

**Tip:** When given percentages, breaking down each transaction step-by-step helps avoid errors and makes calculations straightforward.

A man gifts 25% of his total savings to his elder son and 40% of the remaining amount to his younger son. He is left with ₹8,307. How much did he gift his elder son?

Learn how to solve a percentage-based savings problem involving gifts to family members. This problem requires knowledge of percentages and basic algebra to determine how much a man gifted to his elder son from his total savings. Suitable for Grades 8-10.

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