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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 can be said about the total surplus of country B and country D over the 4 years?

Option 1: Surplus of B = Surplus of D

Option 2: Surplus of D > Surplus of B

Option 3: Surplus of B > Surplus of D

Option 4: No relation is there


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 11th Jan, 2024

Correct Answer: Surplus of D > Surplus of B


Solution : The surplus for each year is calculated as the production minus the sales.
For country B:
In 2011, the surplus was 1881 – 1798 = 83 ('000 quintals)
In 2012, the surplus was 2067 – 2389 = –322 ('000 quintals)
In 2013, the surplus was 1328 – 2063 = –735 ('000 quintals)
In 2014, the surplus was 1578 – 1239 = 339 ('000 quintals)
The total surplus for country B over the 4 years = 83 – 322 – 735 + 339 = – 635 ('000 quintals)
For country D:
In 2011, the surplus was 3126 – 2417 = 709 ('000 quintals)
In 2012, the surplus was 2987 – 2911 = 76 ('000 quintals)
In 2013, the surplus was 2143 – 3188 = –1045 ('000 quintals)
In 2014, the surplus was 4126 – 3563 = 563 ('000 quintals)
The total surplus for country D over the 4 years = 709 + 76 – 1045 + 563 = 303 ('000 quintals)
On comparing, the Surplus of D is greater than the Surplus of B.
Hence, the correct answer is Surplus of D > Surplus of B.

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