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Let's work through the problem step by step.

### Given:
Arnil deposited ₹73,000 in the bank. The currency notes are in denominations of ₹10, ₹50, and ₹100. The ratio of these notes is 3:4:5, respectively.

Let:
- The number of ₹10 notes be \( 3x \),
- The number of ₹50 notes be \( 4x \),
- The number of ₹100 notes be \( 5x \).

The total value of these notes must sum to ₹73,000.

### Forming the equation:

\[
(3x \times 10) + (4x \times 50) + (5x \times 100) = 73,000
\]

Simplify the equation:

\[
30x + 200x + 500x = 73,000
\]

\[
730x = 73,000
\]

\[
x = \frac{73,000}{730} = 100
\]

So, \( x = 100 \).

### Now, let's answer each part of the question:

#### a) Find the number of ₹10 notes:
The number of ₹10 notes = \( 3x = 3 \times 100 = 300 \).

#### b) Find the number of ₹50 notes:
The number of ₹50 notes = \( 4x = 4 \times 100 = 400 \).

#### c) Find the number of ₹100 notes:
The number of ₹100 notes = \( 5x = 5 \times 100 = 500 \).

### Final Answers:
- a) The number of ₹10 notes is **300**.
- b) The number of ₹50 notes is **400**.
- c) The number of ₹100 notes is **500**.

Would you like more details or have any further questions?

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Here are 5 related questions for further practice:
1. What would be the total deposit if the ratio was 2:3:5 for the same denominations?
2. How much money is held by the ₹50 notes alone?
3. If Arnil deposited ₹85,000 instead with the same ratio, what would be the number of ₹10 notes?
4. How does the ratio affect the total number of notes across different denominations?
5. What if one more denomination of ₹200 was included in the deposit? How would the equations change?

**Tip:** Always check if the total amount and the ratio match the deposit before solving the system of equations!

Arnil deposited ₹73,000 in the bank. The currency notes given by him to the bank were denominations ₹10, ₹50, and ₹100 in the ratio 3:4:5 respectively. a) Find the number of ₹10 notes in the denomination. b) Find the number of ₹50 notes in the denomination. c) Find the number of ₹100 notes in the denomination.

Solve a real-world problem involving the deposit of ₹73,000 in different currency denominations of ₹10, ₹50, and ₹100 in the ratio of 3:4:5. Learn to apply ratios and algebra to find the exact number of notes in each denomination. Suitable for students in Grades 7-9.

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