# Three schools A, B and C organized a mela for collecting funds for helping the rehabilitation of flood victims. They sold hand made fans, mats and plates from recycled material at a cost of Rs 25, Rs 100 and Rs 50 each. The number of articles sold are given below - Mathematics

Three schools A, B and C organized a mela for collecting funds for helping the rehabilitation of flood victims. They sold hand made fans, mats and plates from recycled material at a cost of Rs 25, Rs 100 and Rs 50 each. The number of articles sold are given below:

 SchoolArticle A B C Hand-fans 40 25 35 Mats 50 40 50 Plates 20 30 40

Find the funds collected by each school separately by selling the above articles. Also find the total funds collected for the purpose.

Write one value generated by the above situation.

#### Solution

The number of articles sold by each school can be written in the matrix form as follows:

X=[[40,25,35],[50,40,50],[20,30,40]]

The cost of each article can be written in the matrix form as follows:

Y=[[25,100,50]]

The fund collected by each school is given by

YX=[[25,100,50]][[40,25,35],[50,40,50],[20,30,40]]

YX=[[7000,6125,7875]]

Thus, the funds collected by schools A, B and C are Rs 7,000,  Rs 6,125 and Rs 7,875, respectively.

The total fund collected = Rs (7000 + 6125 + 7875)
= Rs 21,000

The situation highlights the helpful nature of the students.

Concept: Multiplication of Two Matrices
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