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To help solve this problem, I will break down the given information step by step:

### Information from the table:
1. **Row 1 (Column 1)**: 6 notes, total Rs. 180.
2. **Row 2 (Column 2)**: 7 notes, total Rs. 300.
3. **Row 3 (Column 3)**: Total Rs. 380 (no information on the number of notes).

### Clues provided:
- Each friend has some money in Rs.100, Rs.50, and Rs.10 denominations.
- Trisha has less money than Piyush.
- The total number of notes with the three friends in each row and each column is equal.
- The total number of notes with friends in each column is 21.
- Only Qureshi and Usha have 8 notes each.
- The number of notes with any person is between 5 and 10.
- Nishant has Rs. 10 less than Oshin, while Oshin has Rs. 25 more than Qureshi.

### Objective:
Determine the total number of Rs. 100 notes across the nine friends.

Let's start solving it mathematically. Since Qureshi and Usha have 8 notes each, and the sum of the notes in each column is 21, we need to calculate the distribution of notes across each column, figure out the denomination breakdown, and sum up the Rs. 100 notes.

I'll now process this information step by step.In **Row 3**, there are 8 notes, and the total amount of money is Rs. 380.

### Next steps:
Now, I'll calculate how many Rs.100, Rs.50, and Rs.10 notes are in each row and column. Using the total amount of money in each row, we can make reasonable assumptions about how many of each type of note exist based on the given totals.

Let's work on that.The solution provides relationships between the number of Rs. 100, Rs. 50, and Rs. 10 notes in each row. However, the result is expressed in terms of \( z1 \), \( z2 \), and \( z3 \), which represent the number of Rs. 10 notes.

To make progress, we will use logical assumptions or constraints based on the total number of notes per person (5 to 10 notes) and the fact that the number of Rs. 100, Rs. 50, and Rs. 10 notes must sum to the total given.

Let's now calculate approximate values of Rs. 100 notes by assuming reasonable values for Rs. 10 notes. I'll try a few possibilities to get the Rs. 100 note count.Using the assumption of \( z1 = 2 \), \( z2 = 3 \), and \( z3 = 3 \) for the Rs. 10 notes, we find that the total number of Rs. 100 notes across all rows comes out to \( \frac{13}{5} \), which is not a whole number. This suggests the assumption may not be valid.

Let me try a different set of values for the Rs. 10 notes to find an integer solution.It seems like I can’t do more advanced data analysis right now. Please try again later.

In the meantime, if you'd like to explore different assumptions or try calculating manually, I'd be happy to guide you through that process. Let me know if you'd like me to explain anything further or discuss an alternative approach!

### Here are some related questions:
1. Can you identify specific conditions to limit the possible values for Rs. 10 notes?
2. How would changes in the Rs. 50 notes count affect the total number of Rs. 100 notes?
3. How does the clue about Qureshi and Usha having 8 notes each affect our calculation strategy?
4. Could we derive any insights by focusing only on one column or row at a time?
5. What might be the next logical step after determining the total Rs. 100 notes?

**Tip:** When working on logic puzzles, always cross-check your assumptions with all the constraints given.

What was the total number of Rs.100 notes with these 9 friends?

This problem involves nine friends sitting in rows and columns, with clues about the denominations in their wallets. Learn how to deduce the total number of Rs. 100 notes by analyzing logical constraints and the sum of money. Suitable for Grades 10-12 students.

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