Divide as indicat :
Rs 520 in the ratio `5:8.`

Answer

To divide Rs. 520 in the ratio of 5:8, follow these steps:

### Step 1: Understand the Ratio
The ratio 5:8 means that for every 5 parts of one quantity, there are 8 parts of another quantity.

### Step 2: Set Up the Variables
Let the two parts be represented as:
- First part = 5x
- Second part = 8x

### Step 3: Write the Equation
Since the total amount to be divided is Rs. 520, we can write the equation:
\[ 5x + 8x = 520 \]

### Step 4: Combine Like Terms
Combine the terms on the left side:
\[ 13x = 520 \]

### Step 5: Solve for x
To find the value of x, divide both sides of the equation by 13:
\[ x = \frac{520}{13} \]

### Step 6: Calculate x
Now, calculate the value:
\[ x = 40 \]

### Step 7: Find the Actual Values
Now that we have the value of x, we can find the actual amounts for both parts:
- First part = \( 5x = 5 \times 40 = 200 \)
- Second part = \( 8x = 8 \times 40 = 320 \)

### Step 8: Conclusion
Thus, when Rs. 520 is divided in the ratio of 5:8, the two amounts are Rs. 200 and Rs. 320.

---