Question

Three friends A, B and C visited a super market for purchasing fresh fruits. A purchased
1 kg apples, 3 kg grapes and 4 kg oranges and paid Rs 800. B prchased 2 kg apples, 1 kg
grapes and 2 kg oranges and piad Rs 500 while C paid Rs700 for 5 kg apples, 1 kg
grapes and 1 kg oranges. Find the cost of each fruit per kg using matrix method.

Answer 1

Suppose Apple-x, Grapes-y, Oranges-z;
A paid
1x+3y+4z=800;
2x+1y+2z=500;
5x+1y+1z=700;
 by solving above equation we get;
x=100, y=100, z=100;
Cost of each fruit per kg is:apple=100kg, grapes=100kg, oranges=100kg