Please Solve R.D. Sharma class 12 Chapter 5 determinants Exercise 5.4 Question 31 Maths textbook Solution.
Hint: Use Cramer’s rule for system of linear equations.
|Months||sale of unit||Total commission drawn|
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
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 rates of commission of items A, B and C are 2%, 4% and 11% respectively.
Concept: Solving matrix of order 3x3 by Cramer’s rule.