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).
