If 35% of a number is 416 more than 27% of the same number, then the number is

Correct option is A

Given:
35% of a number is 416 more than 27% of the same number.
Formula:
Percentage of a number: ​$$\frac{\text{percent}}{100} \times \text{number}$$​​
Solution:

​Equation: 35% of x - 27% of x = 416.
Let the number be 'x'.

35% of x = 0.35x

27% of x = 0.27x

Given: 0.35x = 0.27x + 416

Subtract 0.27x from both sides:
0.35x - 0.27x = 416
0.08x = 416
Solve for x:
Answer: 5200