Question:

There are two companies A and B producing Milking Machine. Both the Companies generate sales through online and offline channels. The below table shows the sales data from different channels for both companies in four zones around the country. Read the information carefully and answer the followings.
ZonesA OnlineA OfflineB OnlineB Offline
North10x-3y1905x350
South6353905556x+5y
East5454y3y400
West5y160455350
Note:
1. The sum of total sales from offline channel of company A from South and East zone is double than sales of company B online sales from South zone.
2. Sales of company B from offline channel of South zone is 1812 units.
What is the difference of sales generated through online channel of company A for all four zones to Total sales of Milking Machine from North Zone for both companies?

Show Hint

The enclosed space equals the square formed by the centres minus the inscribed circle areas.
  • 560
  • 670
  • 780
  • 1260
Show Solution
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The Correct Option is C

Solution and Explanation

The two notes in the passage need solving first before the actual question can be answered. From note 1, A's offline sales from South and East combined equal double B's online sales from South: \(390 + 4y = 2 \times 555 = 1110\), giving \(y=180\). From note 2, B's offline sales from South is 1812: \(6x+5y=1812\), so \(6x=912\), giving \(x=152\).
With x and y known, Company A's total online sales across all four zones is North(\(10x-3y=980\)) + South(635) + East(545) + West(\(5y=900\)) = 3060. North Zone's total sales for both companies combined is A Online(980) + A Offline(190) + B Online(\(5x=760\)) + B Offline(350) = 2280.
The difference between these two figures is \(3060-2280=780\), matching option 3.
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