A bag has 50, 100, and 200 notes in the ratio 3:7:5. If there are 90 notes in the bag find the amount of money in the bag.

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the Ratio
The ratio of the number of 50, 100, and 200 notes is given as 3:7:5. This means that for every 3 notes of 50, there are 7 notes of 100, and 5 notes of 200.

### Step 2: Assign Variables
Let:
- Number of 50 notes = 3x
- Number of 100 notes = 7x
- Number of 200 notes = 5x

### Step 3: Set Up the Equation
According to the problem, the total number of notes is 90. Therefore, we can set up the equation:
\[ 3x + 7x + 5x = 90 \]

### Step 4: Simplify the Equation
Combine the terms on the left side:
\[ 15x = 90 \]

### Step 5: Solve for x
Now, divide both sides by 15 to find the value of x:
\[ x = \frac{90}{15} = 6 \]

### Step 6: Calculate the Number of Each Type of Note
Now that we have x, we can find the number of each type of note:
- Number of 50 notes = \( 3x = 3 \times 6 = 18 \)
- Number of 100 notes = \( 7x = 7 \times 6 = 42 \)
- Number of 200 notes = \( 5x = 5 \times 6 = 30 \)

### Step 7: Calculate the Total Amount of Money
Now, we can calculate the total amount of money in the bag:
- Amount from 50 notes = \( 18 \times 50 = 900 \)
- Amount from 100 notes = \( 42 \times 100 = 4200 \)
- Amount from 200 notes = \( 30 \times 200 = 6000 \)

### Step 8: Add the Amounts Together
Finally, add all the amounts together to find the total money in the bag:
\[ 900 + 4200 + 6000 = 11100 \]

### Conclusion
The total amount of money in the bag is **₹11,100**.

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