# 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

Sum

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.

#### Solution

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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#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 2 Matrices
Miscellaneous Exercise 2 | Q 4.14 | Page 85