Question

If the farmer get Rs. 45 per Kg of castor and Rs. 40 for cotton each year, what will be the ratio of earning from castor for the year 2011 and 2012 to earning from cotton for the year 2015, 2016 and 2017?

• A. 0.88
• B. 0.90
• C. 0.65
• D. 0.83

Hint:

Simplify the fraction before dividing:
\[ \text{Ratio} = \frac{23400}{28000} = \frac{234}{280} = \frac{117}{140} \approx 0.835 \]
This helps you quickly choose the correct option.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
To find the ratio of earnings, we calculate the specified earnings for each period and then divide them to obtain the simplified ratio.
Key Formula or Approach:
- Earning from Castor (2011-2012) = \((\text{Castor}_{2011} + \text{Castor}_{2012}) \times 45\)
- Earning from Cotton (2015-2017) = \((\text{Cotton}_{2015} + \text{Cotton}_{2016} + \text{Cotton}_{2017}) \times 40\)
- Ratio = \(\frac{\text{Earning}_{\text{Castor}}}{\text{Earning}_{\text{Cotton}}}\)

Step 2: Detailed Explanation:
Let us perform the calculations step-by-step:
- Earning from Castor (2011 and 2012):
- Production in 2011 = 290 Kgs, in 2012 = 230 Kgs.
- Total weight = \(290 + 230 = 520\text{ Kgs}\).
\[ \text{Earning}_{\text{Castor}} = 520 \times 45 = 23400\text{ Rs} \]
- Earning from Cotton (2015, 2016 and 2017):
- Production in 2015 = 320 Kgs, in 2016 = 140 Kgs, in 2017 = 240 Kgs.
- Total weight = \(320 + 140 + 240 = 700\text{ Kgs}\).
\[ \text{Earning}_{\text{Cotton}} = 700 \times 40 = 28000\text{ Rs} \]
- Calculating the Ratio:
\[ \text{Ratio} = \frac{23400}{28000} \approx 0.8357 \approx 0.83 \]

Step 3: Final Answer:
The ratio of earnings is approximately 0.83 (Option D).