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Solve the following : Two farmers Shantaram and Kantaram cultivate three crops rice, wheat and groundnut. The sale (in Rupees) of these crops by both the farmers for the month of April - Mathematics and Statistics

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Question

Solve the following :

Two farmers Shantaram and Kantaram cultivate three crops rice, wheat and groundnut. The sale (in Rupees) of these crops by both the farmers for the month of April and May 2016 is given below,

April 2016 (in ₹.)
  Rice Wheat Groundnut
Shantaram 15000 13000 12000
Kantaram 18000 15000 8000
May 2016 (in ₹.)
  Rice Wheat Groundnut
Shantaram 18000 15000 12000
Kantaram 21000 16500 16000

Find : The total sale in rupees for two months of each farmer for each crop.

Sum

Solution

Total sale for Shantaram:
For rice = 15000 + 18000 = ₹ 33000.
For wheat = 13000 + 15000 = ₹ 28000.
For groundnut = 12000 + 12000 = ₹ 24000.
Total sale for Kantaram:
For rice = 18000 + 21000 = ₹ 39000
For wheat = 15000 + 16500 = ₹ 31500
For groundnut = 8000 + 16000 = ₹ 24000

Alternate method:
Matrix form

= `[(15000, 13000, 12000),(18000, 15000, 8000)] + [(18000, 15000, 12000),(21000, 16500, 16000)]`

= `[(33000, 28000, 24000),(39000, 31500, 24000)]`

∴ The total sale of April and May of Shantaram in ₹ is ₹ 33000 (rice), ₹ 28000 (wheat), ₹ 24000 (groundnut) and that of Kantaram in ₹ is ₹ 39000(rice), ₹ 31500(wheat), and ₹ 24000 (groundnut).

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Application of Matrices
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Chapter 2: Matrices - Miscellaneous Exercise 2 [Page 85]

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April 2016 (in ₹.)
  Rice Wheat Groundnut
Shantaram 15000 13000 12000
Kantaram 18000 15000 8000
May 2016 (in ₹.)
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