The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number?

Options

A. 1054
B. 1178
C. 1037
D. 1159

Answer

To solve the problem, we will follow these steps:

1. **Define the variable**: Let the unknown number be represented by \( x \).

2. **Set up the equation**: According to the problem, the difference between 78% of the number and 59% of the same number is 323. We can express this mathematically as:
\[ 0.78x - 0.59x = 323 \]

3. **Simplify the equation**: Combine like terms on the left side:
\[ (0.78 - 0.59)x = 323 \]
\[ 0.19x = 323 \]

4. **Solve for \( x \)**: To find \( x \), divide both sides of the equation by 0.19:
\[ x = \frac{323}{0.19} \]
\[ x = 1700 \]

5. **Calculate 62% of the number**: Now that we have found \( x \), we need to find 62% of \( x \):
\[ 0.62x = 0.62 \times 1700 \]
\[ 0.62 \times 1700 = 1054 \]

6. **Final answer**: Therefore, 62% of the number is:
\[ \boxed{1054} \]