Division of Rupees 324 between x and y in the ratio 11:7

To divide rupees 324 between two persons, x and y, in the ratio 11:7, we need to determine the amount of money each person will receive. Let's break down the solution step by step.

Step 1: Understand the Ratio
The given ratio is 11:7, which means that for every 11 parts received by x, y will receive 7 parts. We can consider these parts as units for simplicity.

Step 2: Calculate the Total Number of Parts
To find the total number of parts, we need to add the two parts in the ratio: 11 + 7 = 18. This means that the entire amount of money is divided into 18 equal parts.

Step 3: Determine the Value of Each Part
To find the value of each part, we divide the total amount of money by the total number of parts: 324 / 18 = 18. Each part is equal to 18 rupees.

Step 4: Calculate the Amount for x
As per the given ratio, x receives 11 parts. So, the amount received by x can be calculated as follows: 11 parts * 18 rupees/part = 198 rupees.

Step 5: Calculate the Amount for y
Similarly, y receives 7 parts. So, the amount received by y can be calculated as follows: 7 parts * 18 rupees/part = 126 rupees.

Step 6: Final Result
Therefore, x would receive 198 rupees and y would receive 126 rupees.

Summary:
To divide rupees 324 between x and y in the ratio 11:7, x would receive 198 rupees and y would receive 126 rupees.