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 stock (in '000 quintals) of country C at the end of the four years?
Option 1: 5926
Option 2: 6213
Option 3: 6826
Option 4: 8844
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Correct Answer: 6826
Solution :
Given that for country C, the stock at the end of 2010 is 7835 ('000 quintals).
The stock at the end of each year:
At the end of 2011, the stock = 7835 + 2035 – 2247 = 7623 ('000 quintals)
At the end of 2012, the stock = 7623 + 1821 – 2018 = 7426 ('000 quintals)
At the end of 2013, the stock = 7426 + 1937 – 2563 = 6800 ('000 quintals)
At the end of 2014, the stock = 6800 + 3014 – 2988 = 6826 ('000 quintals)
The stock of country C at the end of the four years = 6826 ('000 quintals)
Hence, the correct answer is 6826.
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