Question

Weekly expenditure in an office for three weeks is given as follows. Calculate the salary for each type of staff using Cramer’s rule.

Week	Number of employees			Total week salary (in Rs.)
	A	B	C
1	4	2	3	4900
2	3	3	2	4500
3	4	3	4	5800

Answer 1

Let the salary for the three types of staff A, B and C be Rs. x, Rs.y and Rs.z respectively. 

According to the problem we have, 

4x + 2y + 3z = 4900 

3x + 3y + 2z = 4500 

4x + 3y + 4z = 5800

Hence the salary for staff A is Rs. 700 for staff B is Rs. 600 and staff C is Rs. 300.