Solution:
Given:
A, B and C can complete a work in 20 days, 30 days and 60 days respectively.
Total wage paid = Rs. 3000
Concept used:
Ratio of efficiency = Ratio of wages
Formula used:
Total work = Efficiency × Time
Calculation:
Efficiency of A in one day = 1/20
Efficiency of B in one day = 1/30
Efficiency of C in one day = 1/60
Ratio of their efficiency = (1/20) : (1/30) : (1/60)
Multiply the above ratio by 60, we get
Ratio of their efficiency = 3 : 2 : 1
According to the concept, we have
Ratio of wages = 3 : 2 : 1
Let the wage of A, B and C be 3x, 2x and x respectively
So, 3x + 2x + x = Rs. 3000
⇒ 6x = Rs. 3000
⇒ x = Rs. 500
So, the wage of A = 3x
⇒ Rs. (3 × 500)
⇒ Rs. 1500
And, the wage of B = 2x
⇒ Rs. (2 × 500)
⇒ Rs. 1000
And, the wage of C = x
⇒ Rs. 500
∴ The salary of A, B and C is Rs. 1500, Rs. 1000 and Rs. 500.
