Question : Direction: The table given below represents the production and sales of wheat in 4 different countries A, B, C, and D for 4 years. At the end of the year 2010 A, B, C, and D had a stock of 5200, 3500, 7835, and 1956 (in '000 quintals) of wheat respectively. For any given year, the stock of wheat is calculated as:
The stock of year $(n+1)$ = stock at end of year $n$ + production in year $(n+1)$ – sales in year $(n+1)$ and, Surplus of year $n$ = production in year $n$ – sales in year $n$
| Wheat production and sales (in '000 quintals) | ||||||||
| Year | Country | Country | Country | Country | ||||
| 2011 | A | B | C | D | ||||
| Prod. | Sales | Prod. | Sales | Prod. | Sales | Prod. | Sales | |
| 1218 | 1413 | 1881 | 1798 | 2035 | 2247 | 3126 | 2417 | |
| 2012 | 1554 | 1783 | 2067 | 2389 | 1821 | 2018 | 2987 | 2911 |
| 2013 | 1671 | 1641 | 1328 | 2063 | 1937 | 2563 | 2143 | 3188 |
| 2014 | 1103 | 1002 | 1578 | 1239 | 3014 | 2988 | 4126 | 3563 |
What is the difference (in '000 quintals) in average production and average sales respectively of country C in the given four years?
Option 1: 252.25
Option 2: 415.50
Option 3: 350.75
Option 4: 275.25
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Correct Answer: 252.25
Solution :
For country C:
Total production over 4 years = 2035 + 1821 + 1937 + 3014 = 8807 ('000 quintals)
Total sales over 4 years = 2247 + 2018 + 2563 + 2988 = 9816 ('000 quintals)
The average production for country C over the 4 years = $\frac{8807}{4}$ = 2201.75 ('000 quintals)
The average sales for country C over the 4 years = $\frac{9816}{4}$ = 2454 ('000 quintals)
The difference in average production and average sales = 2454 – 2201.75 = 252.25 ('000 quintals)
Hence, the correct answer is 252.25.
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