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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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 - Mathematics and Statistics

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प्रश्न

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 increase in sale from April to May for every crop of each farmer.

बेरीज

उत्तर

Increase in sale from April to May for Shantaram:
For rice = 18000  – 15000 = 3000
For wheat = 15000 – 13000 = 2000
For groundnut = 12000 – 12000 = 0
Increase in sale from April to May for Kantaram:
For rice = 21000 – 18000 = 3000
For wheat = 16500 – 15000 = 1500
For groundnut = 16000 – 8000 = 8000

Alternate method:
Matrix form

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

= `[(3000, 2000, 0),(3000, 1500, 8000)]`

∴ The increase in sales for Shantaram from April to May in each crop is ₹ 3000 (rice), ₹ 2000(wheat), 0 (groundnut) and that for Kantaram is ₹ 3000 (rice), ₹ 1500 (wheat) and ₹ 8000 (groundnut).

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Application of Matrices
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Matrices - Miscellaneous Exercise 2 [पृष्ठ ८५]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 2 Matrices
Miscellaneous Exercise 2 | Q 4.14 | पृष्ठ ८५

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