Analyzing Movie Ticket Sales Data

The question asks us to find the number of tickets of movie E sold in Chennai as a percentage of the number of tickets of movie A sold in Mumbai. We need to extract the relevant data points from the provided table and then perform a percentage calculation.

Step-by-Step Calculation of Ticket Sales Percentage

Let's break down the steps required to find the answer:

1. Identify the number of tickets of movie E sold in Chennai. Look at the row for 'Chennai' and the column for 'E'. The value is 17000.
2. Identify the number of tickets of movie A sold in Mumbai. Look at the row for 'Mumbai' and the column for 'A'. The value is 8500.
3. Calculate the percentage. The formula to find what percentage quantity X is of quantity Y is $\frac{X}{Y} \times 100$. In this case, X is the number of tickets of movie E sold in Chennai, and Y is the number of tickets of movie A sold in Mumbai.

Using the values identified:

• Tickets of movie E sold in Chennai = 17000
• Tickets of movie A sold in Mumbai = 8500

Now, let's apply the percentage formula:

Percentage = $\frac{\text{Number of tickets of movie E sold in Chennai}}{\text{Number of tickets of movie A sold in Mumbai}} \times 100$

Percentage = $\frac{17000}{8500} \times 100$

Percentage = $2 \times 100$

Percentage = $200$

So, the number of tickets of movie E sold in Chennai is 200% of the number of tickets of movie A sold in Mumbai.

Comparing Calculation Result with Options

The calculated percentage is 200%. Let's look at the provided options:

• Option 1: 70
• Option 2: 200
• Option 3: 130
• Option 4: 30

Our calculated value, 200%, matches Option 2.

Revision Table: Key Data Points

Additional Information: Understanding Percentage Calculations

Percentage is a way of expressing a number as a fraction of 100. It is often denoted by the percent sign, "%". When we say X is P% of Y, it means $\frac{X}{Y} = \frac{P}{100}$. Therefore, $P = \frac{X}{Y} \times 100$. This concept is widely used to compare quantities relative to a base quantity.

• If the quantity X is less than quantity Y, the percentage will be less than 100%.
• If the quantity X is equal to quantity Y, the percentage will be exactly 100%.
• If the quantity X is greater than quantity Y, the percentage will be greater than 100%.

In this problem, the number of tickets for Movie E in Chennai (17000) is greater than the number of tickets for Movie A in Mumbai (8500). Specifically, 17000 is exactly double 8500. Double a quantity corresponds to 200% of that quantity (since 2 = 200/100).