The respective ratio between 52% of x and 30% of y is 12:5. If x is 50 more than y, what is the value of 2x +y?

Options

A. 390
B. 260
C. 230
D. 490

Answer

To solve the problem step by step, we will follow the given conditions and equations.

### Step 1: Set up the equations based on the problem statement.
We know that:
- The ratio of 52% of x to 30% of y is 12:5.
- x is 50 more than y.

From the first condition, we can write:
\[ \frac{52\% \text{ of } x}{30\% \text{ of } y} = \frac{12}{5} \]
This can be expressed as:
\[ \frac{0.52x}{0.30y} = \frac{12}{5} \]