The ratio of salary of u, v and w is 8 : 7 : 13. If w gets Rs 3384 more than that of v, then what is the salary (in Rs) of u?

Options

A. 4432
B. 4512
C. 4642
D. 5144

Answer

To solve the problem, we need to find the salary of U given the ratio of salaries of U, V, and W, and the additional information about W's salary compared to V's.

### Step-by-Step Solution:

1. **Understand the Ratio**:
The ratio of the salaries of U, V, and W is given as 8:7:13. This means:
- Let the salary of U = 8x
- Let the salary of V = 7x
- Let the salary of W = 13x

2. **Set Up the Equation**:
According to the problem, W gets Rs 3384 more than V. Therefore, we can write the equation:
\[ W - V = 3384 \]
Substituting the values from the ratio:
\[ 13x - 7x = 3384 \]

3. **Simplify the Equation**:
Simplifying the left side, we get:
\[ 6x = 3384 \]

4. **Solve for x**:
To find the value of x, divide both sides by 6:
\[ x = \frac{3384}{6} = 564 \]

5. **Calculate the Salary of U**:
Now that we have the value of x, we can find the salary of U:
\[ \text{Salary of U} = 8x = 8 \times 564 = 4512 \]

Thus, the salary of U is Rs 4512.

### Final Answer:
The salary of U is Rs 4512.