Study the following pie chart carefully and answer the question given below.…

2022

Study the following pie chart carefully and answer the question given below. The pie-chart given below shows the percentage distribution of the number of tickets sold by five different theatres. The number of tickets sold on Friday = 950.

Out of the number of tickets sold by Rangmahal Cineplex 7/12 were purchased by females and out of the number of tickets sold by Jyoti Cineplex 1/19 were purchased by females. What was the total number of tickets purchased by females from Rangmahal Cineplex and Jyoti Cineplex together?

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  1. A.

    148

  2. B.

    143

  3. C.

    126

  4. D.

    152

Attempted by 42 students.

Show answer & explanation

Correct answer: A

Step 1: Find the number of tickets sold by each relevant theatre.

  • Rangmahal Cineplex: 24% of 950 = 0.24 × 950 = 228 tickets

  • Jyoti Cineplex: 30% of 950 = 0.30 × 950 = 285 tickets

Step 2: Find the number of female purchasers at each theatre.

  • Females at Rangmahal = 7/12 of 228 = (228 ÷ 12) × 7 = 19 × 7 = 133

  • Females at Jyoti = 1/19 of 285 = 285 ÷ 19 = 15

Step 3: Add the female purchasers from both theatres.

  • Total females = 133 + 15 = 148

Answer: 148

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