If 45% students are participating in writing competition are boys. If 135 boys are participating in competition. What are total numbers of Students participating in competition.

The correct answer is 300. We are told that 45% of the participants are boys, and the number of boys is 135. Using this information, we can find the total number of students by setting up a simple percentage equation.

Step-by-Step Solution

• Understand the Relationship:
  
  45% of the total students = Number of boys
  
  Let the total number of students be T.
• Write the Equation:
  
  45% × T = 135
  
  (45/100) × T = 135
• Solve for T:
  
  Multiply both sides by 100 to eliminate the denominator:
  
  45 × T = 135 × 100
  
  45T = 13,500
  
  Divide both sides by 45:
  
  T = 13,500 ÷ 45
  
  T = 300
• Verification:
  
  45% of 300 = (45/100) × 300 = 0.45 × 300 = 135. The answer matches the given number of boys perfectly.

Hence, the total number of students participating is 300.