Question

Two farmers Thilagan and Kausigan cultivates three varieties of grains namely rice, wheat and ragi. If the sale (in ₹) of three varieties of grains by both the farmers in the month of April is given by the matrix.

          `{:("April sale in"  ₹)/("rice"   "wheat"   "ragi"):}`

A = `[(500, 1000, 1500),(2500, 1500, 500)]"Thilagan"/"Kausigan"`

and the May month sale (in ₹) is exactly twice as that of the April month sale for each variety.

What is the average sales for the months of April and May

Answer 1

Let A represent the sale on April

A = `[(500, 1000, 1500),(2500, 1500, 500)]`

Let B represent the sale on May

B = `2[(500, 1000, 1500),(2500, 1500, 500)]`

= `[(1000, 2000, 3000),(5000, 3000, 1000)]`

Average sale of the month April and May

= `1/2["A" + "B"]`

= `1/2{[(500, 1000, 1500),(2500, 1500, 500)] + [(1000, 2000, 3000),(5000, 3000, 1000)]}`

= `1/2[(1500, 3000, 4500),(7500, 4500, 1500)]`

= `[(750, 1500, 2250),(3750, 2250, 750)]`