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.
The number of Indian movies released in 2003 is what per cent more than the number of movies released in 2001?

Options

A. 414
B. 30
C. 35
D. 31.2

Answer

To solve the problem step by step, we will follow the data provided for the years 2001, 2003, and 2005 regarding the number of movies released.

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

### Step 2: Calculate International Movies in 2001
From the problem, we know that 24% of the total movies released in 2001 are international movies. Therefore, the number of international movies released in 2001 is:
\[ \text{International Movies in 2001} = 0.24X \]

### Step 3: Calculate Indian Movies in 2001
The total number of Indian movies released in 2001 can be calculated as:
\[ \text{Indian Movies in 2001} = X - 0.24X = 0.76X \]

### Step 4: Calculate Movies Released in 2003
The total number of movies released in 2003 is 900 more than that released in 2001:
\[ \text{Total Movies in 2003} = X + 900 \]
Out of these, 432 are international movies. Thus, the number of Indian movies released in 2003 is:
\[ \text{Indian Movies in 2003} = (X + 900) - 432 = X + 468 \]

### Step 5: Calculate Movies Released in 2005
The total number of movies released in 2005 is twice that released in 2001:
\[ \text{Total Movies in 2005} = 2X \]
20% of these are international movies, so the number of international movies in 2005 is:
\[ \text{International Movies in 2005} = 0.20 \times 2X = 0.4X \]
Thus, the number of Indian movies released in 2005 is:
\[ \text{Indian Movies in 2005} = 2X - 0.4X = 1.6X \]

### Step 6: Calculate Regional Language Movies
We know that the number of regional language movies released in 2005 is 600. Given that regional language movies constitute 25% of the total Indian movies released in 2005:
\[ 0.25 \times \text{Indian Movies in 2005} = 600 \]
So, we can set up the equation:
\[ 0.25 \times 1.6X = 600 \]
Solving for \( X \):
\[ 0.4X = 600 \implies X = \frac{600}{0.4} = 1500 \]

### Step 7: Calculate Indian Movies Released in 2001 and 2003
Now that we have \( X = 1500 \):
- Indian Movies in 2001:
\[ \text{Indian Movies in 2001} = 0.76 \times 1500 = 1140 \]
- Indian Movies in 2003:
\[ \text{Indian Movies in 2003} = 1500 + 468 = 1968 \]

### Step 8: Calculate Percentage Increase
Now, we need to find out what percentage more the number of Indian movies released in 2003 is compared to those released in 2001:
\[ \text{Increase} = \text{Indian Movies in 2003} - \text{Indian Movies in 2001} = 1968 - 1140 = 828 \]
Percentage increase is given by:
\[ \text{Percentage Increase} = \left( \frac{828}{1140} \right) \times 100 \approx 72.89\% \]

### Final Answer
The number of Indian movies released in 2003 is approximately **72.89%** more than the number of Indian movies released in 2001.

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