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 = 14xÂ
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
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