Question

matrix and determinants
In a factory a man gets Rs 100 a day and a women Rs75 a day.40 people are employed in a factory.If total daily wages bill of the factory is Rs 3625 find the number of men and women employed in the factory using Cramer's rule.​

Answer 1

Step-by-step explanation:

P + Q = 3 (Q + R) ………………(i)

P + Q + R = 30 + P

so, Q + R = 30 ……………(ii)

Putting (ii) in eq. (i)

P + Q = 3 (30)

P + Q = 90 ………………….(iii)

Q + R = 30

as, Q = 5R

so, 5R + R = 30

6R = 30

R = 5 ……………(A)

putting in eq. (ii)

Q + 5 = 30

Q = 25 ………….(B)

P + Q = 90

P + 25 = 90

P = 90 – 25 = 65

Therefore, wages are 65, 25 and 5

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