Question

The following graph shows farmers farm production of two crops (Castor and Cotton) from the year 2011 to 2017 in Kgs. The farmer had a contract to sell Rs. 45 per Kg for castor and Rs. 40 for cotton for the time period with a company. Study the graph of castor and cotton production carefully and answer the questions given below. If the farmer get Rs. 45 per Kg of castor and Rs. 40 for cotton each year what will be the total earning of farmers for the time period 2011 to 2016 ?
\includegraphics[width=0.6\textwidth]{1.png}

• A. 125250
• B. 149250
• C. 120250
• D. 176250

Hint:

Be careful with the time interval given in the question (2011 to 2016).
Ensure you do not include the production values for the year 2017, as doing so will lead to a different option.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
To find the total earnings of the farmer over a specific time period, we must calculate the total quantities of both crops produced during those years and multiply them by their respective contract selling prices.
Key Formula or Approach:
- Total Earning = \((\text{Total Castor} \times 45) + (\text{Total Cotton} \times 40)\)
- Note: The time period is 2011 to 2016 (excluding 2017).

Step 2: Detailed Explanation:
Let us extract the values from the chart for the years 2011 to 2016:
- Castor Production (Kgs):
- 2011: 290, 2012: 230, 2013: 340, 2014: 220, 2015: 190, 2016: 180.
\[ \text{Total Castor} = 290 + 230 + 340 + 220 + 190 + 180 = 1450\text{ Kgs} \]
- Cotton Production (Kgs):
- 2011: 330, 2012: 230, 2013: 280, 2014: 200, 2015: 320, 2016: 140.
\[ \text{Total Cotton} = 330 + 230 + 280 + 200 + 320 + 140 = 1500\text{ Kgs} \]
- Calculating total earnings:
\[ \text{Earning from Castor} = 1450 \times 45 = 65250\text{ Rs} \]
\[ \text{Earning from Cotton} = 1500 \times 40 = 60000\text{ Rs} \]
\[ \text{Total Earning} = 65250 + 60000 = 125250\text{ Rs} \]

Step 3: Final Answer:
The total earning of the farmer for the period 2011 to 2016 is Rs. 125250 (Option A).