Question

Robin could get equal number of Rs. 55, Rs. 85 and Rs. 105 category tickets for a movie. He spent Rs. 2940 for all the tickets. How many tickets of each category did he buy?

• A. 12
• B. 14
• C. 16
• D. 11

Hint:

When equal quantities are involved: - Add unit costs first - Multiply by number of units

Answer 1

The Correct Option is A

Concept: If equal number of tickets are bought in each category, let that number be $x$.

Step 1: Form equation.
Total cost: \[ x(55 + 85 + 105) = 2940 \]

Step 2: Simplify.
\[ x(245) = 2940 \]

Step 3: Solve for $x$.
\[ x = \frac{2940}{245} = 12 \]

Step 4: Final conclusion.
Thus, number of tickets in each category is: \[ 12 \]