Multiple choice

In a stage show, the price of General tickets was exactly half the price of Premium tickets. The ratio of General to Premium tickets sold was 3 : 2. For a particular show, the total revenue earned from tickets of both types was Rs. 4200. What was the price of one Premium ticket if the difference between the number of General tickets sold and the number of Premium tickets sold was 40?

  1. Rs. 30

  2. Rs. 50

  3. Rs. 60

  4. Rs. 80

  5. None of these
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A Correct answer
AI explanation

Since the ratio of General to Premium tickets sold is 3 : 2, let the number of General tickets be 3x and Premium tickets be 2x. The difference is 3x - 2x = x = 40 tickets, meaning 120 General and 80 Premium tickets were sold. Let the price of a Premium ticket be 2y, making the price of a General ticket y; the total revenue equation is 120y + 80(2y) = 4200. Solving 280y = 4200 gives y = 15, so the price of one Premium ticket is 2 * 15 = Rs. 30.

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