Aditya has ₹200 in the form of 25 paise coins, 50 paise coins and ₹2 coins. If the no. of 50 paise coins is thrice of the ₹2 coins and the no. Of 25 paise coins is twice the no. of 50 paise coins.

Let's define the number of coins based on the given information:

1. Let the number of ₹2 coins be \( x \).
2. The number of 50 paise coins is thrice the number of ₹2 coins, so the number of 50 paise coins is \( 3x \).
3. The number of 25 paise coins is twice the number of 50 paise coins, so the number of 25 paise coins is \( 2 \times 3x = 6x \).

Now, we calculate the total value of each type of coin:

- The value of ₹2 coins is \( 2 \times x \) rupees.
- The value of 50 paise coins is \( 0.50 \times 3x = 1.5x \) rupees.
- The value of 25 paise coins is \( 0.25 \times 6x = 1.5x \) rupees.

The total value of the coins is ₹200, so the equation becomes:

\[
2x + 1.5x + 1.5x = 200
\]

Simplifying:

\[
2x + 3x = 200
\]

\[
5x = 200
\]

Solving for \( x \):

\[
x = \frac{200}{5} = 40
\]

Now, we can find the number of each type of coin:

- Number of ₹2 coins: \( x = 40 \)
- Number of 50 paise coins: \( 3x = 3 \times 40 = 120 \)
- Number of 25 paise coins: \( 6x = 6 \times 40 = 240 \)

Thus, Aditya has:
- 40 ₹2 coins,
- 120 50 paise coins, and
- 240 25 paise coins.

Would you like further details or explanations?

Here are 5 related questions:
1. How do we calculate the total value of a set of mixed coins?
2. What is the process to solve simultaneous linear equations?
3. How can you express the relationship between different coin denominations in other currencies?
4. What are the different ways to convert paise to rupees?
5. How does increasing or decreasing the number of coins affect the total amount?

**Tip:** Always ensure the units are consistent when dealing with currency values (e.g., converting paise to rupees).

Aditya has ₹200 in the form of 25 paise coins, 50 paise coins, and ₹2 coins. If the number of 50 paise coins is thrice the number of ₹2 coins and the number of 25 paise coins is twice the number of 50 paise coins, how many coins of each type does he have?

Learn how to solve a problem involving ₹200 split into 25 paise, 50 paise, and ₹2 coins. Using algebra and linear equations, this step-by-step solution explains how to calculate the number of each type of coin based on their relationships. Ideal for students in Grades 6-8.

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