Study the given information carefully and answer the given questions
The revenue of a given railway zone was collected from four primary sources— Offline Ticket Sales, Online Ticket Sales, Freight, fines during three Financial Years (FY2013-14, FY2014-15, FY2015-16)
2013-14: Total revenue collected was ₹3500 crore, Fines(₹ x crore) comprised `7 6/7%` of the total revenue and revenue from online ticket sales was ₹x+300 crore. Revenue from freight was `12%` more than that from offline ticket sales
FY 2014-15 : Revenue from online ticket sale increased by 25 crores over FY 2013-14. Revenue from offline ticket sale was 40 % of the total revenue in FY 2014-15. Revenue from Freight and Fines was in the respective ratio of `5:1`
FY 2015-16: Revenue from fines in FY 2013-14 was `11/16` th of that in FY2015-16. Revenue from online ticket sales increased by `50%` over that in FY 2014-15 and that from offline ticket sales was the average of that in FY 2013-14 and 2014- 15. Revenue from freight has been and will continue to increase steadily by ₹250 crore every financial year
If the average revenue from online ticket sales in FY 2014-15. FY2015-16andFY2016-17was₹ 1150crore. By what per cent did the revenue from online ticket sales increase in FY 2016-17 as compare to FY 2014-15

Options

A. 250
B. 150
C. 225
D. 230

Answer

To solve the problem step-by-step, we will break down the information given for each financial year and calculate the required values.

### Step 1: Calculate Fines for FY 2013-14
The total revenue for FY 2013-14 is ₹3500 crore. Fines (₹x crore) comprised \(7 \frac{6}{7}\%\) of the total revenue.

\[ \text{Fines} = \frac{7 \frac{6}{7}}{100} \times 3500 = \frac{55}{7} \times 3500 = 2750 \text{ crore} \]

### Step 2: Calculate Revenue from Online Ticket Sales for FY 2013-14
Revenue from online ticket sales was given as ₹(x + 300) crore. We already found that Fines = ₹2750 crore. Thus, we can set up the equation:

\[ x + 300 + 2750 + \text{Offline Ticket Sales} + \text{Freight} = 3500 \]

Let the revenue from offline ticket sales be \(OT\) and from freight be \(F\). We know that:

\[ OT + F = 3500 - (x + 300 + 2750) \]

Substituting \(x = 2750\):

\[ OT + F = 3500 - (2750 + 300) = 450 \]

### Step 3: Establish Relationship Between Offline Ticket Sales and Freight
From the problem, we know that revenue from freight was \(12\%\) more than that from offline ticket sales:

\[ F = OT + 0.12 \cdot OT = 1.12 \cdot OT \]

Substituting this into the previous equation:

\[ OT + 1.12 \cdot OT = 450 \]

\[ 2.12 \cdot OT = 450 \implies OT = \frac{450}{2.12} \approx 212.26 \]

Calculating \(F\):

\[ F = 1.12 \cdot 212.26 \approx 237.27 \]

### Step 4: Calculate Revenue for FY 2014-15
Revenue from online ticket sales increased by ₹25 crore over FY 2013-14:

\[ \text{Online Ticket Sales FY 2014-15} = 2750 + 25 = 2750 + 25 = 2750 \text{ crore} \]

Revenue from offline ticket sales was \(40\%\) of total revenue in FY 2014-15. Let total revenue for FY 2014-15 be \(T\):

\[ OT = 0.4T \]

Fines and Freight were in the ratio \(5:1\):

Let Fines = \(F\) and Freight = \(5F\):

\[ F + 5F = 6F \]

From previous calculations, we know:

\[ F = 2750 \text{ crore} \]

### Step 5: Calculate Revenue for FY 2015-16
Revenue from fines in FY 2013-14 was \(11/16\) of that in FY 2015-16. Let the revenue from fines in FY 2015-16 be \(F'\):

\[ F' = \frac{16}{11} \cdot 2750 \approx 4000 \text{ crore} \]

### Step 6: Calculate Online Ticket Sales for FY 2016-17
The average revenue from online ticket sales for FY 2014-15, FY 2015-16, and FY 2016-17 was ₹1150 crore. Let the revenue from online ticket sales in FY 2016-17 be \(O\):

\[ \frac{2750 + 4000 + O}{3} = 1150 \]

Solving for \(O\):

\[ 2750 + 4000 + O = 3450 \implies O = 3450 - 6750 = 1950 \text{ crore} \]

### Step 7: Calculate Percentage Increase from FY 2014-15 to FY 2016-17
Now, we need to find the percentage increase from FY 2014-15 to FY 2016-17:

\[ \text{Percentage Increase} = \frac{O - \text{Online Ticket Sales FY 2014-15}}{\text{Online Ticket Sales FY 2014-15}} \times 100 \]

Substituting the values:

\[ \text{Percentage Increase} = \frac{1950 - 2750}{2750} \times 100 = \frac{-800}{2750} \times 100 \approx -29.09\% \]

### Conclusion
The revenue from online ticket sales decreased by approximately \(29.09\%\) in FY 2016-17 compared to FY 2014-15.