Analyzing Movie Ticket Sales Data

The question asks us to find the approximate percentage by which the number of tickets sold for movie D in Kolkata is less than the number of tickets sold for movie B in Chandigarh. To answer this, we need to extract the relevant data from the provided table.

Extracting Key Data Points

From the table, we identify the number of tickets sold for the two specific scenarios:

• Number of tickets of movie D sold in Kolkata: Looking at the row for Kolkata and the column for Movie D, we find the value is 10500.
• Number of tickets of movie B sold in Chandigarh: Looking at the row for Chandigarh and the column for Movie B, we find the value is 13500.

Calculating the Percentage Difference

We want to find out by what percentage the first number (10500) is less than the second number (13500). The formula for percentage less than is:

$$ \text{Percentage Less Than} = \left( \frac{\text{Reference Value} - \text{Compared Value}}{\text{Reference Value}} \right) \times 100\% $$

In this case:

• Compared Value = Number of tickets of movie D sold in Kolkata = 10500
• Reference Value = Number of tickets of movie B sold in Chandigarh = 13500

Now, let's substitute these values into the formula:

$$ \text{Percentage Less Than} = \left( \frac{13500 - 10500}{13500} \right) \times 100\% $$

First, calculate the difference:

$$ \text{Difference} = 13500 - 10500 = 3000 $$

Next, divide the difference by the reference value (13500):

$$ \frac{3000}{13500} = \frac{30}{135} = \frac{6 \times 5}{27 \times 5} = \frac{6}{27} = \frac{2 \times 3}{9 \times 3} = \frac{2}{9} $$

Finally, multiply by 100%:

$$ \text{Percentage Less Than} = \frac{2}{9} \times 100\% $$

To get the numerical value:

$$ \frac{2}{9} \approx 0.2222... $$

So, the percentage is:

$$ 0.2222... \times 100\% \approx 22.22\% $$

Approximation and Final Answer

The question asks for the approximate percentage. Our calculated value is approximately 22.22%. We should look for the option that is closest to this value.

The options are:

1. 22%
2. 21%
3. 23%
4. 19%

Comparing 22.22% with the options, 22% is the closest value.

Therefore, the number of tickets of movie D sold in Kolkata is approximately 22% less than the number of tickets of movie B sold in Chandigarh.

Revision Table: Key Values for Percentage Calculation

Additional Information: Understanding Percentage Change

When comparing two quantities, we often talk about percentage change. There are two main types:

• Percentage Increase: Used when the new value is greater than the original value. The formula is $\left( \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \right) \times 100\%$.
• Percentage Decrease (or 'Percentage Less Than'): Used when the new value is less than the original value. The formula is $\left( \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \right) \times 100\%$. This is the formula we used in the solution, where the 'Original Value' is the reference value (13500) and the 'New Value' is the compared value (10500).

It's crucial to identify which value is the reference point (the denominator) based on the wording of the question ("less than the number of tickets of movie B sold in Chandigarh" means Chandigarh's value is the reference).