Need Solution for R.D.Sharma Maths Class 12 Chapter 5 determinants Exercise 5.4 Question 32 Maths Textbook Solution.
Hint: Use Cramer’s rule for system of linear equations.
To form linear equation, let the rates of commissions on items A, B and C be x, y and z respectively. This can be expressed as a system of linear equations.
Where x, y and z are number of cars respectively.
By Cramer’s rule, solving determinant:
Now for x, the x column is replaced with constant column i.e.
If we are solving for y, the y column is replaced with constant column i.e.
If we are solving for z, the z column is replaced with constant column i.e.
Using Cramer’s rule,
The number of cars produced of type are 2, 3 and 4 respectively.
Concept: Solving matrix of order 3x3 by Cramer’s rule.