The following data refers to number of movies released in years 2001, 2003 and 2005.
Note:
(i) Total number of movies released = number of international movies + number of Indian movies
(ii) Total number of Indian movies released=Number of Bollywood movies + Number of regional "language movies.
24% of total number of movies released in 2001, are international movies. In 2003, total number of movies released was 900 more than that released in 2001, out of which 432 are international movies. In 2005, total number of movies released was twice of that released in 2001, out of which 20% are international movies. Out of Indian movies released in 2001, 2003 and 2005, regional language movies released are 40%, 25% and 25% respectively. Number of regional language movies released in 2005 is 600.
What is the difference between number of Indian movies released in 2001 and that released in 2005?

Options

A. 1200
B. 1300
C. 1260
D. 1400

Answer

To solve the problem step by step, we will analyze the information provided and calculate the required values systematically.

### Step 1: Define Variables
Let \( X \) be the total number of movies released in 2001.

### Step 2: Calculate International Movies in 2001
According to the problem, 24% of the total movies released in 2001 are international movies.
\[ \text{International Movies in 2001} = 0.24X \]

### Step 3: Calculate Total Movies in 2003
In 2003, the total number of movies released was 900 more than that released in 2001.
\[ \text{Total Movies in 2003} = X + 900 \]
Out of these, 432 are international movies.

### Step 4: Calculate Indian Movies in 2003
The number of Indian movies in 2003 can be calculated as:
\[ \text{Indian Movies in 2003} = (X + 900) - 432 = X + 468 \]

### Step 5: Calculate Total Movies in 2005
In 2005, the total number of movies released was twice that released in 2001.
\[ \text{Total Movies in 2005} = 2X \]
Out of these, 20% are international movies.
\[ \text{International Movies in 2005} = 0.2 \times 2X = 0.4X \]

### Step 6: Calculate Indian Movies in 2005
The number of Indian movies in 2005 can be calculated as:
\[ \text{Indian Movies in 2005} = 2X - 0.4X = 1.6X \]

### Step 7: Calculate Regional Language Movies
From the problem, we know that the regional language movies released in 2005 are 600. The problem states that regional language movies are 25% of the total Indian movies released in 2005.
Let \( C \) be the number of regional language movies in 2005.
\[ C = 0.25 \times \text{Indian Movies in 2005} \]
Substituting the value of Indian Movies in 2005:
\[ 600 = 0.25 \times 1.6X \]
\[ 600 = 0.4X \]
\[ X = \frac{600}{0.4} = 1500 \]

### Step 8: Calculate Indian Movies in 2001 and 2005
Now that we have \( X \), we can calculate the number of Indian movies released in 2001 and 2005.

**Indian Movies in 2001:**
\[ \text{Total Indian Movies in 2001} = X - 0.24X = 0.76X = 0.76 \times 1500 = 1140 \]

**Indian Movies in 2005:**
\[ \text{Indian Movies in 2005} = 1.6X = 1.6 \times 1500 = 2400 \]

### Step 9: Calculate the Difference
Finally, we need to find the difference between the number of Indian movies released in 2005 and that released in 2001.
\[ \text{Difference} = \text{Indian Movies in 2005} - \text{Indian Movies in 2001} = 2400 - 1140 = 1260 \]

### Final Answer
The difference between the number of Indian movies released in 2001 and that released in 2005 is **1260**.

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