Efficiencies of P, Q, R and S in doing a job are in the ratio 2 : 3 : 5 : 4. The wages paid for the job are
Rs.4200. Who is paid the largest amount and how much is paid?

Total work = lcm (10,24,6)= 120 days

P's effiency = 2x

Q's effiency = 3x

R's effiency = 5x

S's effiency = 4x

tot effiency = 14x 

P'wage = $$\frac{tot wage}{tot effi}P's effiency$$

$$\frac{4200}{14x}2x= 600 Rs$$

Q'wage = $$\frac{tot wage}{tot effi}Q's effiency$$

$$\frac{4200}{14x}3x= 900 Rs$$

R'wage = $$\frac{tot wage}{tot effi}R's effiency$$

$$\frac{4200}{14x}5x= 1500 Rs$$

S'wage = $$\frac{tot wage}{tot effi}R's effiency$$

$$\frac{4200}{14x}4x= 1200 Rs$$

R paid the largest amount = 1500Rs