A profit of Rs. 3000 is shared among X, Y and Z in the ratio `2 : 3 : 1`. How much more money does Y get than X?

Options

A. Rs. 1000
B. Rs. 1600
C. Rs. 500
D. Rs. 800

Answer

To solve the problem of how much more money Y gets than X when a profit of Rs. 3000 is shared among X, Y, and Z in the ratio of 2:3:1, we can follow these steps:

### Step 1: Understand the ratio
The ratio of the shares of X, Y, and Z is given as 2:3:1. This means:
- X's share = 2 parts
- Y's share = 3 parts
- Z's share = 1 part

### Step 2: Calculate the total number of parts
To find the total number of parts in the ratio, we add the parts together:
\[ 2 + 3 + 1 = 6 \text{ parts} \]

### Step 3: Determine the value of one part
The total profit is Rs. 3000. To find the value of one part, we divide the total profit by the total number of parts:
\[ \text{Value of one part} = \frac{3000}{6} = 500 \]

### Step 4: Calculate the shares of X, Y, and Z
Now, we can calculate the individual shares:
- X's share = \( 2 \times 500 = 1000 \)
- Y's share = \( 3 \times 500 = 1500 \)
- Z's share = \( 1 \times 500 = 500 \)

### Step 5: Find how much more money Y gets than X
To find out how much more money Y gets than X, we subtract X's share from Y's share:
\[ \text{Difference} = Y's \text{ share} - X's \text{ share} = 1500 - 1000 = 500 \]

### Final Answer
Y gets Rs. 500 more than X.

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