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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Answer the following question: 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 - Mathematics and Statistics

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प्रश्न

Answer the following question:

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 2008 is given below,

  April sale (In Rs.)
Rice Wheat Groundnut
Shantaram 15000 13000 12000
Kantaram 18000 15000 8000

 

  May sale (In Rs.)
Rice Wheat Groundnut
Shantaram 18000 15000 12000
Kantaram 21000 16500 16000

Find the increase in sales 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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Matrices - Properties of Matrix Multiplication
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Determinants and Matrices - Miscellaneous Exercise 4(B) [पृष्ठ १०२]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 4 Determinants and Matrices
Miscellaneous Exercise 4(B) | Q II. (25) (ii) | पृष्ठ १०२

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Answer the following question:

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 2008 is given below,

  April sale (In Rs.)
Rice Wheat Groundnut
Shantaram 15000 13000 12000
Kantaram 18000 15000 8000

 

  May sale (In Rs.)
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


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