CBSE Class 12-science Answered

Let the award money given for Honesty, Regularity and Hard work be Rs x, Rs y and Rs z respectively.

Since total cash award is Rs 6,000.

x + y + z = 6,000 ...(1)

Three times the award money for Hard work and Honesty amounts to Rs 11,000.

x + 3z = 11,000

x + 0.y + 3 z = 11,000...(2)

Award money for Honesty and Hard work is double the one given for regularity.

x + z = 2y

x - 2y + z = 0...(3)

The above system of equations can be written in matrix form AX = B as:

Here,

Thus, A is non-singular. Hence, it is invertible.

Hence, x = 500, y = 2000, and z = 3500.

Thus, award money given for Honesty, Regularity and Hard work are Rs 500, Rs 2000 and Rs 3500 respectively.

School can include awards for obedience.